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Finding the Fourth Proportional to 9,981.60, 14,959.80 and 5,052.60

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Solution

The fourth proportional to 9,981.60, 14,959.80 and 5,052.60 is: 7,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.60 : 14,959.80 = 5,052.60 : x
  2. Step 2: Convert to fraction form
    9,981.60/14,959.80 = 5,052.60/x
  3. Step 3: Cross multiply
    9,981.60x = 14,959.80 × 5,052.60
  4. Step 4: Simplify right side
    9,981.60x = 75,585,885.48
  5. Step 5: Solve for x
    x = 75,585,885.48/9,981.60
  6. Step 6: Final answer
    x = 7,572.52

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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.