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Finding the Fourth Proportional to 15,691, 23,538.70 and 4,598.48

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Solution

The fourth proportional to 15,691, 23,538.70 and 4,598.48 is: 6,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691 : 23,538.70 = 4,598.48 : x
  2. Step 2: Convert to fraction form
    15,691/23,538.70 = 4,598.48/x
  3. Step 3: Cross multiply
    15,691x = 23,538.70 × 4,598.48
  4. Step 4: Simplify right side
    15,691x = 108,242,241.18
  5. Step 5: Solve for x
    x = 108,242,241.18/15,691
  6. Step 6: Final answer
    x = 6,898.36

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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.