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Finding the Fourth Proportional to 9,830.75, 14,746.13 and 2,905.07

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Solution

The fourth proportional to 9,830.75, 14,746.13 and 2,905.07 is: 4,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.75 : 14,746.13 = 2,905.07 : x
  2. Step 2: Convert to fraction form
    9,830.75/14,746.13 = 2,905.07/x
  3. Step 3: Cross multiply
    9,830.75x = 14,746.13 × 2,905.07
  4. Step 4: Simplify right side
    9,830.75x = 42,838,539.88
  5. Step 5: Solve for x
    x = 42,838,539.88/9,830.75
  6. Step 6: Final answer
    x = 4,357.61

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.