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Finding the Fourth Proportional to 6,468.80, 9,701.92 and 2,957.72

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Solution

The fourth proportional to 6,468.80, 9,701.92 and 2,957.72 is: 4,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.80 : 9,701.92 = 2,957.72 : x
  2. Step 2: Convert to fraction form
    6,468.80/9,701.92 = 2,957.72/x
  3. Step 3: Cross multiply
    6,468.80x = 9,701.92 × 2,957.72
  4. Step 4: Simplify right side
    6,468.80x = 28,695,562.82
  5. Step 5: Solve for x
    x = 28,695,562.82/6,468.80
  6. Step 6: Final answer
    x = 4,435.99

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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.