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Finding the Fourth Proportional to 9,924.51, 14,891.99 and 4,381.68

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Solution

The fourth proportional to 9,924.51, 14,891.99 and 4,381.68 is: 6,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.51 : 14,891.99 = 4,381.68 : x
  2. Step 2: Convert to fraction form
    9,924.51/14,891.99 = 4,381.68/x
  3. Step 3: Cross multiply
    9,924.51x = 14,891.99 × 4,381.68
  4. Step 4: Simplify right side
    9,924.51x = 65,251,934.74
  5. Step 5: Solve for x
    x = 65,251,934.74/9,924.51
  6. Step 6: Final answer
    x = 6,574.83

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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.