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Finding the Fourth Proportional to 13,174.71, 19,762.68 and 7,326.92

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Solution

The fourth proportional to 13,174.71, 19,762.68 and 7,326.92 is: 10,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.71 : 19,762.68 = 7,326.92 : x
  2. Step 2: Convert to fraction form
    13,174.71/19,762.68 = 7,326.92/x
  3. Step 3: Cross multiply
    13,174.71x = 19,762.68 × 7,326.92
  4. Step 4: Simplify right side
    13,174.71x = 144,799,476.53
  5. Step 5: Solve for x
    x = 144,799,476.53/13,174.71
  6. Step 6: Final answer
    x = 10,990.71

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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.