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Finding the Fourth Proportional to 6,877.16, 10,297.02 and 6,427.88

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Solution

The fourth proportional to 6,877.16, 10,297.02 and 6,427.88 is: 9,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.16 : 10,297.02 = 6,427.88 : x
  2. Step 2: Convert to fraction form
    6,877.16/10,297.02 = 6,427.88/x
  3. Step 3: Cross multiply
    6,877.16x = 10,297.02 × 6,427.88
  4. Step 4: Simplify right side
    6,877.16x = 66,188,008.92
  5. Step 5: Solve for x
    x = 66,188,008.92/6,877.16
  6. Step 6: Final answer
    x = 9,624.32

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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.