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Finding the Fourth Proportional to 5,471.76, 7,550.93 and 3,347.14

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Solution

The fourth proportional to 5,471.76, 7,550.93 and 3,347.14 is: 4,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.76 : 7,550.93 = 3,347.14 : x
  2. Step 2: Convert to fraction form
    5,471.76/7,550.93 = 3,347.14/x
  3. Step 3: Cross multiply
    5,471.76x = 7,550.93 × 3,347.14
  4. Step 4: Simplify right side
    5,471.76x = 25,274,004.66
  5. Step 5: Solve for x
    x = 25,274,004.66/5,471.76
  6. Step 6: Final answer
    x = 4,618.99

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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.