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Finding the Fourth Proportional to 5,650.14, 7,798.11 and 5,400.96

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Solution

The fourth proportional to 5,650.14, 7,798.11 and 5,400.96 is: 7,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.14 : 7,798.11 = 5,400.96 : x
  2. Step 2: Convert to fraction form
    5,650.14/7,798.11 = 5,400.96/x
  3. Step 3: Cross multiply
    5,650.14x = 7,798.11 × 5,400.96
  4. Step 4: Simplify right side
    5,650.14x = 42,117,280.19
  5. Step 5: Solve for x
    x = 42,117,280.19/5,650.14
  6. Step 6: Final answer
    x = 7,454.20

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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.