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Finding the Fourth Proportional to 9,693, 13,377.18 and 6,154.92

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Solution

The fourth proportional to 9,693, 13,377.18 and 6,154.92 is: 8,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693 : 13,377.18 = 6,154.92 : x
  2. Step 2: Convert to fraction form
    9,693/13,377.18 = 6,154.92/x
  3. Step 3: Cross multiply
    9,693x = 13,377.18 × 6,154.92
  4. Step 4: Simplify right side
    9,693x = 82,335,472.73
  5. Step 5: Solve for x
    x = 82,335,472.73/9,693
  6. Step 6: Final answer
    x = 8,494.32

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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.