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Finding the Fourth Proportional to 10,452.10, 15,683.54 and 6,944.52

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Solution

The fourth proportional to 10,452.10, 15,683.54 and 6,944.52 is: 10,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.10 : 15,683.54 = 6,944.52 : x
  2. Step 2: Convert to fraction form
    10,452.10/15,683.54 = 6,944.52/x
  3. Step 3: Cross multiply
    10,452.10x = 15,683.54 × 6,944.52
  4. Step 4: Simplify right side
    10,452.10x = 108,914,657.20
  5. Step 5: Solve for x
    x = 108,914,657.20/10,452.10
  6. Step 6: Final answer
    x = 10,420.36

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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.