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Finding the Fourth Proportional to 5,986.17, 9,024.12 and 5,584.82

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Solution

The fourth proportional to 5,986.17, 9,024.12 and 5,584.82 is: 8,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.17 : 9,024.12 = 5,584.82 : x
  2. Step 2: Convert to fraction form
    5,986.17/9,024.12 = 5,584.82/x
  3. Step 3: Cross multiply
    5,986.17x = 9,024.12 × 5,584.82
  4. Step 4: Simplify right side
    5,986.17x = 50,398,040.74
  5. Step 5: Solve for x
    x = 50,398,040.74/5,986.17
  6. Step 6: Final answer
    x = 8,419.08

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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.