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Finding the Fourth Proportional to 8,151.80, 12,234.90 and 6,985.40

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Solution

The fourth proportional to 8,151.80, 12,234.90 and 6,985.40 is: 10,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.80 : 12,234.90 = 6,985.40 : x
  2. Step 2: Convert to fraction form
    8,151.80/12,234.90 = 6,985.40/x
  3. Step 3: Cross multiply
    8,151.80x = 12,234.90 × 6,985.40
  4. Step 4: Simplify right side
    8,151.80x = 85,465,670.46
  5. Step 5: Solve for x
    x = 85,465,670.46/8,151.80
  6. Step 6: Final answer
    x = 10,484.27

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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.