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Finding the Fourth Proportional to 12,952.65, 19,403.54 and 6,716.73

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Solution

The fourth proportional to 12,952.65, 19,403.54 and 6,716.73 is: 10,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.65 : 19,403.54 = 6,716.73 : x
  2. Step 2: Convert to fraction form
    12,952.65/19,403.54 = 6,716.73/x
  3. Step 3: Cross multiply
    12,952.65x = 19,403.54 × 6,716.73
  4. Step 4: Simplify right side
    12,952.65x = 130,328,404.52
  5. Step 5: Solve for x
    x = 130,328,404.52/12,952.65
  6. Step 6: Final answer
    x = 10,061.91

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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.