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Finding the Fourth Proportional to 6,337.70, 8,728.01 and 6,202.02

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Solution

The fourth proportional to 6,337.70, 8,728.01 and 6,202.02 is: 8,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.70 : 8,728.01 = 6,202.02 : x
  2. Step 2: Convert to fraction form
    6,337.70/8,728.01 = 6,202.02/x
  3. Step 3: Cross multiply
    6,337.70x = 8,728.01 × 6,202.02
  4. Step 4: Simplify right side
    6,337.70x = 54,131,292.58
  5. Step 5: Solve for x
    x = 54,131,292.58/6,337.70
  6. Step 6: Final answer
    x = 8,541.16

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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.