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Finding the Fourth Proportional to 10,876.92, 15,009.28 and 6,400.84

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Solution

The fourth proportional to 10,876.92, 15,009.28 and 6,400.84 is: 8,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.92 : 15,009.28 = 6,400.84 : x
  2. Step 2: Convert to fraction form
    10,876.92/15,009.28 = 6,400.84/x
  3. Step 3: Cross multiply
    10,876.92x = 15,009.28 × 6,400.84
  4. Step 4: Simplify right side
    10,876.92x = 96,071,999.80
  5. Step 5: Solve for x
    x = 96,071,999.80/10,876.92
  6. Step 6: Final answer
    x = 8,832.65

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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.