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Finding the Fourth Proportional to 7,113, 10,654.14 and 4,471.56

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Solution

The fourth proportional to 7,113, 10,654.14 and 4,471.56 is: 6,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113 : 10,654.14 = 4,471.56 : x
  2. Step 2: Convert to fraction form
    7,113/10,654.14 = 4,471.56/x
  3. Step 3: Cross multiply
    7,113x = 10,654.14 × 4,471.56
  4. Step 4: Simplify right side
    7,113x = 47,640,626.26
  5. Step 5: Solve for x
    x = 47,640,626.26/7,113
  6. Step 6: Final answer
    x = 6,697.68

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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.