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Finding the Fourth Proportional to 11,349.66, 17,002.62 and 9,498

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Solution

The fourth proportional to 11,349.66, 17,002.62 and 9,498 is: 14,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.66 : 17,002.62 = 9,498 : x
  2. Step 2: Convert to fraction form
    11,349.66/17,002.62 = 9,498/x
  3. Step 3: Cross multiply
    11,349.66x = 17,002.62 × 9,498
  4. Step 4: Simplify right side
    11,349.66x = 161,490,884.76
  5. Step 5: Solve for x
    x = 161,490,884.76/11,349.66
  6. Step 6: Final answer
    x = 14,228.70

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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.