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Finding the Fourth Proportional to 6,508.77, 8,977.24 and 4,240.61

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Solution

The fourth proportional to 6,508.77, 8,977.24 and 4,240.61 is: 5,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.77 : 8,977.24 = 4,240.61 : x
  2. Step 2: Convert to fraction form
    6,508.77/8,977.24 = 4,240.61/x
  3. Step 3: Cross multiply
    6,508.77x = 8,977.24 × 4,240.61
  4. Step 4: Simplify right side
    6,508.77x = 38,068,973.72
  5. Step 5: Solve for x
    x = 38,068,973.72/6,508.77
  6. Step 6: Final answer
    x = 5,848.87

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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.