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Finding the Fourth Proportional to 10,597.92, 15,819.12 and 9,816

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Solution

The fourth proportional to 10,597.92, 15,819.12 and 9,816 is: 14,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.92 : 15,819.12 = 9,816 : x
  2. Step 2: Convert to fraction form
    10,597.92/15,819.12 = 9,816/x
  3. Step 3: Cross multiply
    10,597.92x = 15,819.12 × 9,816
  4. Step 4: Simplify right side
    10,597.92x = 155,280,481.92
  5. Step 5: Solve for x
    x = 155,280,481.92/10,597.92
  6. Step 6: Final answer
    x = 14,651.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.