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Finding the Fourth Proportional to 8,144.70, 12,207.04 and 4,637.66

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Solution

The fourth proportional to 8,144.70, 12,207.04 and 4,637.66 is: 6,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.70 : 12,207.04 = 4,637.66 : x
  2. Step 2: Convert to fraction form
    8,144.70/12,207.04 = 4,637.66/x
  3. Step 3: Cross multiply
    8,144.70x = 12,207.04 × 4,637.66
  4. Step 4: Simplify right side
    8,144.70x = 56,612,101.13
  5. Step 5: Solve for x
    x = 56,612,101.13/8,144.70
  6. Step 6: Final answer
    x = 6,950.79

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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.