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Finding the Fourth Proportional to 8,826.48, 12,177.06 and 5,684.49

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Solution

The fourth proportional to 8,826.48, 12,177.06 and 5,684.49 is: 7,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.48 : 12,177.06 = 5,684.49 : x
  2. Step 2: Convert to fraction form
    8,826.48/12,177.06 = 5,684.49/x
  3. Step 3: Cross multiply
    8,826.48x = 12,177.06 × 5,684.49
  4. Step 4: Simplify right side
    8,826.48x = 69,220,375.80
  5. Step 5: Solve for x
    x = 69,220,375.80/8,826.48
  6. Step 6: Final answer
    x = 7,842.35

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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.