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Finding the Fourth Proportional to 5,486.25, 7,571.04 and 3,002.25

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Solution

The fourth proportional to 5,486.25, 7,571.04 and 3,002.25 is: 4,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.25 : 7,571.04 = 3,002.25 : x
  2. Step 2: Convert to fraction form
    5,486.25/7,571.04 = 3,002.25/x
  3. Step 3: Cross multiply
    5,486.25x = 7,571.04 × 3,002.25
  4. Step 4: Simplify right side
    5,486.25x = 22,730,154.84
  5. Step 5: Solve for x
    x = 22,730,154.84/5,486.25
  6. Step 6: Final answer
    x = 4,143.11

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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.