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Finding the Fourth Proportional to 8,049.96, 12,077.36 and 6,657

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Solution

The fourth proportional to 8,049.96, 12,077.36 and 6,657 is: 9,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.96 : 12,077.36 = 6,657 : x
  2. Step 2: Convert to fraction form
    8,049.96/12,077.36 = 6,657/x
  3. Step 3: Cross multiply
    8,049.96x = 12,077.36 × 6,657
  4. Step 4: Simplify right side
    8,049.96x = 80,398,985.52
  5. Step 5: Solve for x
    x = 80,398,985.52/8,049.96
  6. Step 6: Final answer
    x = 9,987.50

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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.