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Finding the Fourth Proportional to 9,201.54, 12,701.94 and 6,964.04

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Solution

The fourth proportional to 9,201.54, 12,701.94 and 6,964.04 is: 9,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.54 : 12,701.94 = 6,964.04 : x
  2. Step 2: Convert to fraction form
    9,201.54/12,701.94 = 6,964.04/x
  3. Step 3: Cross multiply
    9,201.54x = 12,701.94 × 6,964.04
  4. Step 4: Simplify right side
    9,201.54x = 88,456,818.24
  5. Step 5: Solve for x
    x = 88,456,818.24/9,201.54
  6. Step 6: Final answer
    x = 9,613.26

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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.