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Finding the Fourth Proportional to 6,473.86, 8,937.74 and 6,100.20

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Solution

The fourth proportional to 6,473.86, 8,937.74 and 6,100.20 is: 8,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.86 : 8,937.74 = 6,100.20 : x
  2. Step 2: Convert to fraction form
    6,473.86/8,937.74 = 6,100.20/x
  3. Step 3: Cross multiply
    6,473.86x = 8,937.74 × 6,100.20
  4. Step 4: Simplify right side
    6,473.86x = 54,522,001.55
  5. Step 5: Solve for x
    x = 54,522,001.55/6,473.86
  6. Step 6: Final answer
    x = 8,421.87

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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.