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Finding the Fourth Proportional to 7,169.84, 9,895.40 and 4,026.24

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Solution

The fourth proportional to 7,169.84, 9,895.40 and 4,026.24 is: 5,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.84 : 9,895.40 = 4,026.24 : x
  2. Step 2: Convert to fraction form
    7,169.84/9,895.40 = 4,026.24/x
  3. Step 3: Cross multiply
    7,169.84x = 9,895.40 × 4,026.24
  4. Step 4: Simplify right side
    7,169.84x = 39,841,255.30
  5. Step 5: Solve for x
    x = 39,841,255.30/7,169.84
  6. Step 6: Final answer
    x = 5,556.78

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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.