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Finding the Fourth Proportional to 9,924.84, 14,879.58 and 4,449

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Solution

The fourth proportional to 9,924.84, 14,879.58 and 4,449 is: 6,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.84 : 14,879.58 = 4,449 : x
  2. Step 2: Convert to fraction form
    9,924.84/14,879.58 = 4,449/x
  3. Step 3: Cross multiply
    9,924.84x = 14,879.58 × 4,449
  4. Step 4: Simplify right side
    9,924.84x = 66,199,251.42
  5. Step 5: Solve for x
    x = 66,199,251.42/9,924.84
  6. Step 6: Final answer
    x = 6,670.06

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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.