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Finding the Fourth Proportional to 9,900.68, 14,851.47 and 5,514.83

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Solution

The fourth proportional to 9,900.68, 14,851.47 and 5,514.83 is: 8,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.68 : 14,851.47 = 5,514.83 : x
  2. Step 2: Convert to fraction form
    9,900.68/14,851.47 = 5,514.83/x
  3. Step 3: Cross multiply
    9,900.68x = 14,851.47 × 5,514.83
  4. Step 4: Simplify right side
    9,900.68x = 81,903,332.30
  5. Step 5: Solve for x
    x = 81,903,332.30/9,900.68
  6. Step 6: Final answer
    x = 8,272.50

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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.