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Finding the Fourth Proportional to 7,876.20, 10,877.54 and 5,984.04

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Solution

The fourth proportional to 7,876.20, 10,877.54 and 5,984.04 is: 8,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.20 : 10,877.54 = 5,984.04 : x
  2. Step 2: Convert to fraction form
    7,876.20/10,877.54 = 5,984.04/x
  3. Step 3: Cross multiply
    7,876.20x = 10,877.54 × 5,984.04
  4. Step 4: Simplify right side
    7,876.20x = 65,091,634.46
  5. Step 5: Solve for x
    x = 65,091,634.46/7,876.20
  6. Step 6: Final answer
    x = 8,264.35

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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.