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Finding the Fourth Proportional to 9,601.77, 14,402.64 and 3,754.28

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Solution

The fourth proportional to 9,601.77, 14,402.64 and 3,754.28 is: 5,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.77 : 14,402.64 = 3,754.28 : x
  2. Step 2: Convert to fraction form
    9,601.77/14,402.64 = 3,754.28/x
  3. Step 3: Cross multiply
    9,601.77x = 14,402.64 × 3,754.28
  4. Step 4: Simplify right side
    9,601.77x = 54,071,593.38
  5. Step 5: Solve for x
    x = 54,071,593.38/9,601.77
  6. Step 6: Final answer
    x = 5,631.42

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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.