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Finding the Fourth Proportional to 4,314.68, 6,472.06 and 3,454.46

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Solution

The fourth proportional to 4,314.68, 6,472.06 and 3,454.46 is: 5,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.68 : 6,472.06 = 3,454.46 : x
  2. Step 2: Convert to fraction form
    4,314.68/6,472.06 = 3,454.46/x
  3. Step 3: Cross multiply
    4,314.68x = 6,472.06 × 3,454.46
  4. Step 4: Simplify right side
    4,314.68x = 22,357,472.39
  5. Step 5: Solve for x
    x = 22,357,472.39/4,314.68
  6. Step 6: Final answer
    x = 5,181.72

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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.