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Finding the Fourth Proportional to 11,329.92, 15,633 and 6,293.44

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Solution

The fourth proportional to 11,329.92, 15,633 and 6,293.44 is: 8,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.92 : 15,633 = 6,293.44 : x
  2. Step 2: Convert to fraction form
    11,329.92/15,633 = 6,293.44/x
  3. Step 3: Cross multiply
    11,329.92x = 15,633 × 6,293.44
  4. Step 4: Simplify right side
    11,329.92x = 98,385,347.52
  5. Step 5: Solve for x
    x = 98,385,347.52/11,329.92
  6. Step 6: Final answer
    x = 8,683.68

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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.