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Finding the Fourth Proportional to 15,642.58, 23,463.86 and 5,261.62

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Solution

The fourth proportional to 15,642.58, 23,463.86 and 5,261.62 is: 7,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.58 : 23,463.86 = 5,261.62 : x
  2. Step 2: Convert to fraction form
    15,642.58/23,463.86 = 5,261.62/x
  3. Step 3: Cross multiply
    15,642.58x = 23,463.86 × 5,261.62
  4. Step 4: Simplify right side
    15,642.58x = 123,457,915.05
  5. Step 5: Solve for x
    x = 123,457,915.05/15,642.58
  6. Step 6: Final answer
    x = 7,892.43

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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.