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Finding the Fourth Proportional to 12,332.16, 17,020.12 and 7,027.48

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Solution

The fourth proportional to 12,332.16, 17,020.12 and 7,027.48 is: 9,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.16 : 17,020.12 = 7,027.48 : x
  2. Step 2: Convert to fraction form
    12,332.16/17,020.12 = 7,027.48/x
  3. Step 3: Cross multiply
    12,332.16x = 17,020.12 × 7,027.48
  4. Step 4: Simplify right side
    12,332.16x = 119,608,552.90
  5. Step 5: Solve for x
    x = 119,608,552.90/12,332.16
  6. Step 6: Final answer
    x = 9,698.91

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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.