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Finding the Fourth Proportional to 6,655.32, 9,986.86 and 2,498.24

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Solution

The fourth proportional to 6,655.32, 9,986.86 and 2,498.24 is: 3,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.32 : 9,986.86 = 2,498.24 : x
  2. Step 2: Convert to fraction form
    6,655.32/9,986.86 = 2,498.24/x
  3. Step 3: Cross multiply
    6,655.32x = 9,986.86 × 2,498.24
  4. Step 4: Simplify right side
    6,655.32x = 24,949,573.13
  5. Step 5: Solve for x
    x = 24,949,573.13/6,655.32
  6. Step 6: Final answer
    x = 3,748.82

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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.