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Finding the Fourth Proportional to 5,981.24, 9,011.78 and 5,419.08

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Solution

The fourth proportional to 5,981.24, 9,011.78 and 5,419.08 is: 8,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.24 : 9,011.78 = 5,419.08 : x
  2. Step 2: Convert to fraction form
    5,981.24/9,011.78 = 5,419.08/x
  3. Step 3: Cross multiply
    5,981.24x = 9,011.78 × 5,419.08
  4. Step 4: Simplify right side
    5,981.24x = 48,835,556.76
  5. Step 5: Solve for x
    x = 48,835,556.76/5,981.24
  6. Step 6: Final answer
    x = 8,164.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.