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Finding the Fourth Proportional to 11,466, 15,823.32 and 6,498

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Solution

The fourth proportional to 11,466, 15,823.32 and 6,498 is: 8,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466 : 15,823.32 = 6,498 : x
  2. Step 2: Convert to fraction form
    11,466/15,823.32 = 6,498/x
  3. Step 3: Cross multiply
    11,466x = 15,823.32 × 6,498
  4. Step 4: Simplify right side
    11,466x = 102,819,933.36
  5. Step 5: Solve for x
    x = 102,819,933.36/11,466
  6. Step 6: Final answer
    x = 8,967.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.