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Finding the Fourth Proportional to 6,986.64, 10,451.88 and 6,024.72

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Solution

The fourth proportional to 6,986.64, 10,451.88 and 6,024.72 is: 9,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.64 : 10,451.88 = 6,024.72 : x
  2. Step 2: Convert to fraction form
    6,986.64/10,451.88 = 6,024.72/x
  3. Step 3: Cross multiply
    6,986.64x = 10,451.88 × 6,024.72
  4. Step 4: Simplify right side
    6,986.64x = 62,969,650.47
  5. Step 5: Solve for x
    x = 62,969,650.47/6,986.64
  6. Step 6: Final answer
    x = 9,012.87

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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.