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Finding the Fourth Proportional to 5,295.74, 7,944.14 and 1,400.13

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Solution

The fourth proportional to 5,295.74, 7,944.14 and 1,400.13 is: 2,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.74 : 7,944.14 = 1,400.13 : x
  2. Step 2: Convert to fraction form
    5,295.74/7,944.14 = 1,400.13/x
  3. Step 3: Cross multiply
    5,295.74x = 7,944.14 × 1,400.13
  4. Step 4: Simplify right side
    5,295.74x = 11,122,832.24
  5. Step 5: Solve for x
    x = 11,122,832.24/5,295.74
  6. Step 6: Final answer
    x = 2,100.34

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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.