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Finding the Fourth Proportional to 11,502.92, 15,874.16 and 6,965.52

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Solution

The fourth proportional to 11,502.92, 15,874.16 and 6,965.52 is: 9,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.92 : 15,874.16 = 6,965.52 : x
  2. Step 2: Convert to fraction form
    11,502.92/15,874.16 = 6,965.52/x
  3. Step 3: Cross multiply
    11,502.92x = 15,874.16 × 6,965.52
  4. Step 4: Simplify right side
    11,502.92x = 110,571,778.96
  5. Step 5: Solve for x
    x = 110,571,778.96/11,502.92
  6. Step 6: Final answer
    x = 9,612.50

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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.