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Finding the Fourth Proportional to 11,498.38, 15,866.04 and 6,461.62

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Solution

The fourth proportional to 11,498.38, 15,866.04 and 6,461.62 is: 8,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.38 : 15,866.04 = 6,461.62 : x
  2. Step 2: Convert to fraction form
    11,498.38/15,866.04 = 6,461.62/x
  3. Step 3: Cross multiply
    11,498.38x = 15,866.04 × 6,461.62
  4. Step 4: Simplify right side
    11,498.38x = 102,520,321.38
  5. Step 5: Solve for x
    x = 102,520,321.38/11,498.38
  6. Step 6: Final answer
    x = 8,916.07

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1.5x scale

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.