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Finding the Fourth Proportional to 9,857.52, 13,592.52 and 7,344.24

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Solution

The fourth proportional to 9,857.52, 13,592.52 and 7,344.24 is: 10,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.52 : 13,592.52 = 7,344.24 : x
  2. Step 2: Convert to fraction form
    9,857.52/13,592.52 = 7,344.24/x
  3. Step 3: Cross multiply
    9,857.52x = 13,592.52 × 7,344.24
  4. Step 4: Simplify right side
    9,857.52x = 99,826,729.08
  5. Step 5: Solve for x
    x = 99,826,729.08/9,857.52
  6. Step 6: Final answer
    x = 10,126.96

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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.