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Finding the Fourth Proportional to 8,193.40, 11,307.36 and 4,656.40

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Solution

The fourth proportional to 8,193.40, 11,307.36 and 4,656.40 is: 6,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.40 : 11,307.36 = 4,656.40 : x
  2. Step 2: Convert to fraction form
    8,193.40/11,307.36 = 4,656.40/x
  3. Step 3: Cross multiply
    8,193.40x = 11,307.36 × 4,656.40
  4. Step 4: Simplify right side
    8,193.40x = 52,651,591.10
  5. Step 5: Solve for x
    x = 52,651,591.10/8,193.40
  6. Step 6: Final answer
    x = 6,426.10

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Double scale
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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.