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Finding the Fourth Proportional to 10,673.22, 15,977.03 and 9,098.58

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Solution

The fourth proportional to 10,673.22, 15,977.03 and 9,098.58 is: 13,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.22 : 15,977.03 = 9,098.58 : x
  2. Step 2: Convert to fraction form
    10,673.22/15,977.03 = 9,098.58/x
  3. Step 3: Cross multiply
    10,673.22x = 15,977.03 × 9,098.58
  4. Step 4: Simplify right side
    10,673.22x = 145,368,285.62
  5. Step 5: Solve for x
    x = 145,368,285.62/10,673.22
  6. Step 6: Final answer
    x = 13,619.91

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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.