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Finding the Fourth Proportional to 9,902.60, 14,825.10 and 8,865.80

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Solution

The fourth proportional to 9,902.60, 14,825.10 and 8,865.80 is: 13,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.60 : 14,825.10 = 8,865.80 : x
  2. Step 2: Convert to fraction form
    9,902.60/14,825.10 = 8,865.80/x
  3. Step 3: Cross multiply
    9,902.60x = 14,825.10 × 8,865.80
  4. Step 4: Simplify right side
    9,902.60x = 131,436,371.58
  5. Step 5: Solve for x
    x = 131,436,371.58/9,902.60
  6. Step 6: Final answer
    x = 13,272.92

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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.