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Finding the Fourth Proportional to 6,587.56, 9,879.42 and 4,291.24

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Solution

The fourth proportional to 6,587.56, 9,879.42 and 4,291.24 is: 6,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.56 : 9,879.42 = 4,291.24 : x
  2. Step 2: Convert to fraction form
    6,587.56/9,879.42 = 4,291.24/x
  3. Step 3: Cross multiply
    6,587.56x = 9,879.42 × 4,291.24
  4. Step 4: Simplify right side
    6,587.56x = 42,394,962.28
  5. Step 5: Solve for x
    x = 42,394,962.28/6,587.56
  6. Step 6: Final answer
    x = 6,435.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.