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Finding the Fourth Proportional to 4,475.71, 6,704.18 and 4,319.20

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Solution

The fourth proportional to 4,475.71, 6,704.18 and 4,319.20 is: 6,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.71 : 6,704.18 = 4,319.20 : x
  2. Step 2: Convert to fraction form
    4,475.71/6,704.18 = 4,319.20/x
  3. Step 3: Cross multiply
    4,475.71x = 6,704.18 × 4,319.20
  4. Step 4: Simplify right side
    4,475.71x = 28,956,639.14
  5. Step 5: Solve for x
    x = 28,956,639.14/4,475.71
  6. Step 6: Final answer
    x = 6,469.74

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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.