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Finding the Fourth Proportional to 6,964.17, 9,604.13 and 6,461.16

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Solution

The fourth proportional to 6,964.17, 9,604.13 and 6,461.16 is: 8,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.17 : 9,604.13 = 6,461.16 : x
  2. Step 2: Convert to fraction form
    6,964.17/9,604.13 = 6,461.16/x
  3. Step 3: Cross multiply
    6,964.17x = 9,604.13 × 6,461.16
  4. Step 4: Simplify right side
    6,964.17x = 62,053,820.59
  5. Step 5: Solve for x
    x = 62,053,820.59/6,964.17
  6. Step 6: Final answer
    x = 8,910.44

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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.