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Finding the Fourth Proportional to 9,195.50, 12,689.80 and 5,003.76

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Solution

The fourth proportional to 9,195.50, 12,689.80 and 5,003.76 is: 6,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.50 : 12,689.80 = 5,003.76 : x
  2. Step 2: Convert to fraction form
    9,195.50/12,689.80 = 5,003.76/x
  3. Step 3: Cross multiply
    9,195.50x = 12,689.80 × 5,003.76
  4. Step 4: Simplify right side
    9,195.50x = 63,496,713.65
  5. Step 5: Solve for x
    x = 63,496,713.65/9,195.50
  6. Step 6: Final answer
    x = 6,905.19

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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.