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Finding the Fourth Proportional to 14,594.75, 20,141.70 and 8,307.13

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Solution

The fourth proportional to 14,594.75, 20,141.70 and 8,307.13 is: 11,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.75 : 20,141.70 = 8,307.13 : x
  2. Step 2: Convert to fraction form
    14,594.75/20,141.70 = 8,307.13/x
  3. Step 3: Cross multiply
    14,594.75x = 20,141.70 × 8,307.13
  4. Step 4: Simplify right side
    14,594.75x = 167,319,720.32
  5. Step 5: Solve for x
    x = 167,319,720.32/14,594.75
  6. Step 6: Final answer
    x = 11,464.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.