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Finding the Fourth Proportional to 5,296.68, 7,945.65 and 1,401.12

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Solution

The fourth proportional to 5,296.68, 7,945.65 and 1,401.12 is: 2,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.68 : 7,945.65 = 1,401.12 : x
  2. Step 2: Convert to fraction form
    5,296.68/7,945.65 = 1,401.12/x
  3. Step 3: Cross multiply
    5,296.68x = 7,945.65 × 1,401.12
  4. Step 4: Simplify right side
    5,296.68x = 11,132,809.13
  5. Step 5: Solve for x
    x = 11,132,809.13/5,296.68
  6. Step 6: Final answer
    x = 2,101.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.