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Finding the Fourth Proportional to 8,597, 12,895.28 and 2,753.60

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Solution

The fourth proportional to 8,597, 12,895.28 and 2,753.60 is: 4,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597 : 12,895.28 = 2,753.60 : x
  2. Step 2: Convert to fraction form
    8,597/12,895.28 = 2,753.60/x
  3. Step 3: Cross multiply
    8,597x = 12,895.28 × 2,753.60
  4. Step 4: Simplify right side
    8,597x = 35,508,443.01
  5. Step 5: Solve for x
    x = 35,508,443.01/8,597
  6. Step 6: Final answer
    x = 4,130.33

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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.