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Finding the Fourth Proportional to 6,508.44, 8,976.72 and 4,386.24

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Solution

The fourth proportional to 6,508.44, 8,976.72 and 4,386.24 is: 6,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.44 : 8,976.72 = 4,386.24 : x
  2. Step 2: Convert to fraction form
    6,508.44/8,976.72 = 4,386.24/x
  3. Step 3: Cross multiply
    6,508.44x = 8,976.72 × 4,386.24
  4. Step 4: Simplify right side
    6,508.44x = 39,374,048.33
  5. Step 5: Solve for x
    x = 39,374,048.33/6,508.44
  6. Step 6: Final answer
    x = 6,049.69

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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.