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Finding the Fourth Proportional to 6,490.90, 8,957.10 and 3,658.24

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Solution

The fourth proportional to 6,490.90, 8,957.10 and 3,658.24 is: 5,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.90 : 8,957.10 = 3,658.24 : x
  2. Step 2: Convert to fraction form
    6,490.90/8,957.10 = 3,658.24/x
  3. Step 3: Cross multiply
    6,490.90x = 8,957.10 × 3,658.24
  4. Step 4: Simplify right side
    6,490.90x = 32,767,221.50
  5. Step 5: Solve for x
    x = 32,767,221.50/6,490.90
  6. Step 6: Final answer
    x = 5,048.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.