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Finding the Fourth Proportional to 6,472.58, 9,694.49 and 6,315.44

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Solution

The fourth proportional to 6,472.58, 9,694.49 and 6,315.44 is: 9,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.58 : 9,694.49 = 6,315.44 : x
  2. Step 2: Convert to fraction form
    6,472.58/9,694.49 = 6,315.44/x
  3. Step 3: Cross multiply
    6,472.58x = 9,694.49 × 6,315.44
  4. Step 4: Simplify right side
    6,472.58x = 61,224,889.88
  5. Step 5: Solve for x
    x = 61,224,889.88/6,472.58
  6. Step 6: Final answer
    x = 9,459.12

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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.