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Finding the Fourth Proportional to 11,459.10, 15,813.24 and 6,743.70

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Solution

The fourth proportional to 11,459.10, 15,813.24 and 6,743.70 is: 9,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.10 : 15,813.24 = 6,743.70 : x
  2. Step 2: Convert to fraction form
    11,459.10/15,813.24 = 6,743.70/x
  3. Step 3: Cross multiply
    11,459.10x = 15,813.24 × 6,743.70
  4. Step 4: Simplify right side
    11,459.10x = 106,639,746.59
  5. Step 5: Solve for x
    x = 106,639,746.59/11,459.10
  6. Step 6: Final answer
    x = 9,306.12

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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.