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Finding the Fourth Proportional to 10,294.56, 15,445.80 and 4,057.56

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Solution

The fourth proportional to 10,294.56, 15,445.80 and 4,057.56 is: 6,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.56 : 15,445.80 = 4,057.56 : x
  2. Step 2: Convert to fraction form
    10,294.56/15,445.80 = 4,057.56/x
  3. Step 3: Cross multiply
    10,294.56x = 15,445.80 × 4,057.56
  4. Step 4: Simplify right side
    10,294.56x = 62,672,260.25
  5. Step 5: Solve for x
    x = 62,672,260.25/10,294.56
  6. Step 6: Final answer
    x = 6,087.90

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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.