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Finding the Fourth Proportional to 12,471.06, 17,216.42 and 9,632.06

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Solution

The fourth proportional to 12,471.06, 17,216.42 and 9,632.06 is: 13,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.06 : 17,216.42 = 9,632.06 : x
  2. Step 2: Convert to fraction form
    12,471.06/17,216.42 = 9,632.06/x
  3. Step 3: Cross multiply
    12,471.06x = 17,216.42 × 9,632.06
  4. Step 4: Simplify right side
    12,471.06x = 165,829,637.90
  5. Step 5: Solve for x
    x = 165,829,637.90/12,471.06
  6. Step 6: Final answer
    x = 13,297.15

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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.