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Finding the Fourth Proportional to 6,964.67, 9,604.82 and 6,461.66

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Solution

The fourth proportional to 6,964.67, 9,604.82 and 6,461.66 is: 8,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.67 : 9,604.82 = 6,461.66 : x
  2. Step 2: Convert to fraction form
    6,964.67/9,604.82 = 6,461.66/x
  3. Step 3: Cross multiply
    6,964.67x = 9,604.82 × 6,461.66
  4. Step 4: Simplify right side
    6,964.67x = 62,063,081.20
  5. Step 5: Solve for x
    x = 62,063,081.20/6,964.67
  6. Step 6: Final answer
    x = 8,911.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.