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Finding the Fourth Proportional to 13,609.40, 18,780.98 and 7,641.64

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Solution

The fourth proportional to 13,609.40, 18,780.98 and 7,641.64 is: 10,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.40 : 18,780.98 = 7,641.64 : x
  2. Step 2: Convert to fraction form
    13,609.40/18,780.98 = 7,641.64/x
  3. Step 3: Cross multiply
    13,609.40x = 18,780.98 × 7,641.64
  4. Step 4: Simplify right side
    13,609.40x = 143,517,488.01
  5. Step 5: Solve for x
    x = 143,517,488.01/13,609.40
  6. Step 6: Final answer
    x = 10,545.47

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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.