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Finding the Fourth Proportional to 12,524.81, 17,288.03 and 7,223.09

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Solution

The fourth proportional to 12,524.81, 17,288.03 and 7,223.09 is: 9,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.81 : 17,288.03 = 7,223.09 : x
  2. Step 2: Convert to fraction form
    12,524.81/17,288.03 = 7,223.09/x
  3. Step 3: Cross multiply
    12,524.81x = 17,288.03 × 7,223.09
  4. Step 4: Simplify right side
    12,524.81x = 124,872,928.23
  5. Step 5: Solve for x
    x = 124,872,928.23/12,524.81
  6. Step 6: Final answer
    x = 9,970.05

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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.