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Finding the Fourth Proportional to 11,498.84, 15,866.24 and 6,462.40

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Solution

The fourth proportional to 11,498.84, 15,866.24 and 6,462.40 is: 8,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.84 : 15,866.24 = 6,462.40 : x
  2. Step 2: Convert to fraction form
    11,498.84/15,866.24 = 6,462.40/x
  3. Step 3: Cross multiply
    11,498.84x = 15,866.24 × 6,462.40
  4. Step 4: Simplify right side
    11,498.84x = 102,533,989.38
  5. Step 5: Solve for x
    x = 102,533,989.38/11,498.84
  6. Step 6: Final answer
    x = 8,916.90

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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.