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Finding the Fourth Proportional to 11,472.69, 15,833.15 and 6,368.48

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Solution

The fourth proportional to 11,472.69, 15,833.15 and 6,368.48 is: 8,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.69 : 15,833.15 = 6,368.48 : x
  2. Step 2: Convert to fraction form
    11,472.69/15,833.15 = 6,368.48/x
  3. Step 3: Cross multiply
    11,472.69x = 15,833.15 × 6,368.48
  4. Step 4: Simplify right side
    11,472.69x = 100,832,988.10
  5. Step 5: Solve for x
    x = 100,832,988.10/11,472.69
  6. Step 6: Final answer
    x = 8,788.96

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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.