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Finding the Fourth Proportional to 6,576.53, 9,867.10 and 4,108.46

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Solution

The fourth proportional to 6,576.53, 9,867.10 and 4,108.46 is: 6,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.53 : 9,867.10 = 4,108.46 : x
  2. Step 2: Convert to fraction form
    6,576.53/9,867.10 = 4,108.46/x
  3. Step 3: Cross multiply
    6,576.53x = 9,867.10 × 4,108.46
  4. Step 4: Simplify right side
    6,576.53x = 40,538,585.67
  5. Step 5: Solve for x
    x = 40,538,585.67/6,576.53
  6. Step 6: Final answer
    x = 6,164.13

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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.