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Finding the Fourth Proportional to 10,597.87, 15,894.10 and 4,359.61

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Solution

The fourth proportional to 10,597.87, 15,894.10 and 4,359.61 is: 6,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.87 : 15,894.10 = 4,359.61 : x
  2. Step 2: Convert to fraction form
    10,597.87/15,894.10 = 4,359.61/x
  3. Step 3: Cross multiply
    10,597.87x = 15,894.10 × 4,359.61
  4. Step 4: Simplify right side
    10,597.87x = 69,292,077.30
  5. Step 5: Solve for x
    x = 69,292,077.30/10,597.87
  6. Step 6: Final answer
    x = 6,538.30

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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.