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Finding the Fourth Proportional to 15,605.46, 23,419.08 and 6,842.88

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Solution

The fourth proportional to 15,605.46, 23,419.08 and 6,842.88 is: 10,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.46 : 23,419.08 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    15,605.46/23,419.08 = 6,842.88/x
  3. Step 3: Cross multiply
    15,605.46x = 23,419.08 × 6,842.88
  4. Step 4: Simplify right side
    15,605.46x = 160,253,954.15
  5. Step 5: Solve for x
    x = 160,253,954.15/15,605.46
  6. Step 6: Final answer
    x = 10,269.10

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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.