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Finding the Fourth Proportional to 10,609.65, 14,641.52 and 6,361.38

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Solution

The fourth proportional to 10,609.65, 14,641.52 and 6,361.38 is: 8,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.65 : 14,641.52 = 6,361.38 : x
  2. Step 2: Convert to fraction form
    10,609.65/14,641.52 = 6,361.38/x
  3. Step 3: Cross multiply
    10,609.65x = 14,641.52 × 6,361.38
  4. Step 4: Simplify right side
    10,609.65x = 93,140,240.69
  5. Step 5: Solve for x
    x = 93,140,240.69/10,609.65
  6. Step 6: Final answer
    x = 8,778.82

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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.