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Finding the Fourth Proportional to 11,773.71, 17,657.82 and 4,381.65

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Solution

The fourth proportional to 11,773.71, 17,657.82 and 4,381.65 is: 6,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.71 : 17,657.82 = 4,381.65 : x
  2. Step 2: Convert to fraction form
    11,773.71/17,657.82 = 4,381.65/x
  3. Step 3: Cross multiply
    11,773.71x = 17,657.82 × 4,381.65
  4. Step 4: Simplify right side
    11,773.71x = 77,370,387.00
  5. Step 5: Solve for x
    x = 77,370,387.00/11,773.71
  6. Step 6: Final answer
    x = 6,571.45

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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.