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Finding the Fourth Proportional to 15,490.97, 23,239.70 and 7,695.53

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Solution

The fourth proportional to 15,490.97, 23,239.70 and 7,695.53 is: 11,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.97 : 23,239.70 = 7,695.53 : x
  2. Step 2: Convert to fraction form
    15,490.97/23,239.70 = 7,695.53/x
  3. Step 3: Cross multiply
    15,490.97x = 23,239.70 × 7,695.53
  4. Step 4: Simplify right side
    15,490.97x = 178,841,770.06
  5. Step 5: Solve for x
    x = 178,841,770.06/15,490.97
  6. Step 6: Final answer
    x = 11,544.90

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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.