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Finding the Fourth Proportional to 8,565.76, 11,804.16 and 6,077.44

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Solution

The fourth proportional to 8,565.76, 11,804.16 and 6,077.44 is: 8,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.76 : 11,804.16 = 6,077.44 : x
  2. Step 2: Convert to fraction form
    8,565.76/11,804.16 = 6,077.44/x
  3. Step 3: Cross multiply
    8,565.76x = 11,804.16 × 6,077.44
  4. Step 4: Simplify right side
    8,565.76x = 71,739,074.15
  5. Step 5: Solve for x
    x = 71,739,074.15/8,565.76
  6. Step 6: Final answer
    x = 8,375.10

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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.