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Finding the Fourth Proportional to 9,663.65, 13,335.69 and 5,414.68

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Solution

The fourth proportional to 9,663.65, 13,335.69 and 5,414.68 is: 7,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.65 : 13,335.69 = 5,414.68 : x
  2. Step 2: Convert to fraction form
    9,663.65/13,335.69 = 5,414.68/x
  3. Step 3: Cross multiply
    9,663.65x = 13,335.69 × 5,414.68
  4. Step 4: Simplify right side
    9,663.65x = 72,208,493.93
  5. Step 5: Solve for x
    x = 72,208,493.93/9,663.65
  6. Step 6: Final answer
    x = 7,472.18

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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.