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Finding the Fourth Proportional to 9,201.79, 12,702.29 and 6,964.29

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Solution

The fourth proportional to 9,201.79, 12,702.29 and 6,964.29 is: 9,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.79 : 12,702.29 = 6,964.29 : x
  2. Step 2: Convert to fraction form
    9,201.79/12,702.29 = 6,964.29/x
  3. Step 3: Cross multiply
    9,201.79x = 12,702.29 × 6,964.29
  4. Step 4: Simplify right side
    9,201.79x = 88,462,396.40
  5. Step 5: Solve for x
    x = 88,462,396.40/9,201.79
  6. Step 6: Final answer
    x = 9,613.61

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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.