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Finding the Fourth Proportional to 7,012.12, 9,694.95 and 6,702.29

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Solution

The fourth proportional to 7,012.12, 9,694.95 and 6,702.29 is: 9,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.12 : 9,694.95 = 6,702.29 : x
  2. Step 2: Convert to fraction form
    7,012.12/9,694.95 = 6,702.29/x
  3. Step 3: Cross multiply
    7,012.12x = 9,694.95 × 6,702.29
  4. Step 4: Simplify right side
    7,012.12x = 64,978,366.44
  5. Step 5: Solve for x
    x = 64,978,366.44/7,012.12
  6. Step 6: Final answer
    x = 9,266.59

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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.