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Finding the Fourth Proportional to 10,252.60, 15,350.10 and 9,964.60

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Solution

The fourth proportional to 10,252.60, 15,350.10 and 9,964.60 is: 14,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.60 : 15,350.10 = 9,964.60 : x
  2. Step 2: Convert to fraction form
    10,252.60/15,350.10 = 9,964.60/x
  3. Step 3: Cross multiply
    10,252.60x = 15,350.10 × 9,964.60
  4. Step 4: Simplify right side
    10,252.60x = 152,957,606.46
  5. Step 5: Solve for x
    x = 152,957,606.46/10,252.60
  6. Step 6: Final answer
    x = 14,918.91

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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.