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Finding the Fourth Proportional to 9,657.70, 14,462.90 and 8,722.74

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Solution

The fourth proportional to 9,657.70, 14,462.90 and 8,722.74 is: 13,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.70 : 14,462.90 = 8,722.74 : x
  2. Step 2: Convert to fraction form
    9,657.70/14,462.90 = 8,722.74/x
  3. Step 3: Cross multiply
    9,657.70x = 14,462.90 × 8,722.74
  4. Step 4: Simplify right side
    9,657.70x = 126,156,116.35
  5. Step 5: Solve for x
    x = 126,156,116.35/9,657.70
  6. Step 6: Final answer
    x = 13,062.75

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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.