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Finding the Fourth Proportional to 12,868.52, 17,758.90 and 7,203.24

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Solution

The fourth proportional to 12,868.52, 17,758.90 and 7,203.24 is: 9,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.52 : 17,758.90 = 7,203.24 : x
  2. Step 2: Convert to fraction form
    12,868.52/17,758.90 = 7,203.24/x
  3. Step 3: Cross multiply
    12,868.52x = 17,758.90 × 7,203.24
  4. Step 4: Simplify right side
    12,868.52x = 127,921,612.30
  5. Step 5: Solve for x
    x = 127,921,612.30/12,868.52
  6. Step 6: Final answer
    x = 9,940.66

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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.