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Finding the Fourth Proportional to 9,728.88, 14,593.20 and 6,601.14

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Solution

The fourth proportional to 9,728.88, 14,593.20 and 6,601.14 is: 9,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.88 : 14,593.20 = 6,601.14 : x
  2. Step 2: Convert to fraction form
    9,728.88/14,593.20 = 6,601.14/x
  3. Step 3: Cross multiply
    9,728.88x = 14,593.20 × 6,601.14
  4. Step 4: Simplify right side
    9,728.88x = 96,331,756.25
  5. Step 5: Solve for x
    x = 96,331,756.25/9,728.88
  6. Step 6: Final answer
    x = 9,901.63

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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.