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Finding the Fourth Proportional to 6,511.76, 8,987.84 and 3,718.88

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Solution

The fourth proportional to 6,511.76, 8,987.84 and 3,718.88 is: 5,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.76 : 8,987.84 = 3,718.88 : x
  2. Step 2: Convert to fraction form
    6,511.76/8,987.84 = 3,718.88/x
  3. Step 3: Cross multiply
    6,511.76x = 8,987.84 × 3,718.88
  4. Step 4: Simplify right side
    6,511.76x = 33,424,698.42
  5. Step 5: Solve for x
    x = 33,424,698.42/6,511.76
  6. Step 6: Final answer
    x = 5,132.97

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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.