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Finding the Fourth Proportional to 15,838.38, 21,856.10 and 8,764.38

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Solution

The fourth proportional to 15,838.38, 21,856.10 and 8,764.38 is: 12,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.38 : 21,856.10 = 8,764.38 : x
  2. Step 2: Convert to fraction form
    15,838.38/21,856.10 = 8,764.38/x
  3. Step 3: Cross multiply
    15,838.38x = 21,856.10 × 8,764.38
  4. Step 4: Simplify right side
    15,838.38x = 191,555,121.90
  5. Step 5: Solve for x
    x = 191,555,121.90/15,838.38
  6. Step 6: Final answer
    x = 12,094.36

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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.