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Finding the Fourth Proportional to 23,761.66, 35,642.51 and 7,123.44

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Solution

The fourth proportional to 23,761.66, 35,642.51 and 7,123.44 is: 10,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.66 : 35,642.51 = 7,123.44 : x
  2. Step 2: Convert to fraction form
    23,761.66/35,642.51 = 7,123.44/x
  3. Step 3: Cross multiply
    23,761.66x = 35,642.51 × 7,123.44
  4. Step 4: Simplify right side
    23,761.66x = 253,897,281.43
  5. Step 5: Solve for x
    x = 253,897,281.43/23,761.66
  6. Step 6: Final answer
    x = 10,685.17

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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.