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Finding the Fourth Proportional to 10,654.80, 15,944.40 and 9,283.20

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Solution

The fourth proportional to 10,654.80, 15,944.40 and 9,283.20 is: 13,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.80 : 15,944.40 = 9,283.20 : x
  2. Step 2: Convert to fraction form
    10,654.80/15,944.40 = 9,283.20/x
  3. Step 3: Cross multiply
    10,654.80x = 15,944.40 × 9,283.20
  4. Step 4: Simplify right side
    10,654.80x = 148,015,054.08
  5. Step 5: Solve for x
    x = 148,015,054.08/10,654.80
  6. Step 6: Final answer
    x = 13,891.87

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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.