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Finding the Fourth Proportional to 8,371.94, 11,524.28 and 7,237.08

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Solution

The fourth proportional to 8,371.94, 11,524.28 and 7,237.08 is: 9,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.94 : 11,524.28 = 7,237.08 : x
  2. Step 2: Convert to fraction form
    8,371.94/11,524.28 = 7,237.08/x
  3. Step 3: Cross multiply
    8,371.94x = 11,524.28 × 7,237.08
  4. Step 4: Simplify right side
    8,371.94x = 83,402,100.12
  5. Step 5: Solve for x
    x = 83,402,100.12/8,371.94
  6. Step 6: Final answer
    x = 9,962.11

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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.