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Finding the Fourth Proportional to 5,165.19, 7,746.17 and 2,242.71

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Solution

The fourth proportional to 5,165.19, 7,746.17 and 2,242.71 is: 3,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.19 : 7,746.17 = 2,242.71 : x
  2. Step 2: Convert to fraction form
    5,165.19/7,746.17 = 2,242.71/x
  3. Step 3: Cross multiply
    5,165.19x = 7,746.17 × 2,242.71
  4. Step 4: Simplify right side
    5,165.19x = 17,372,401.71
  5. Step 5: Solve for x
    x = 17,372,401.71/5,165.19
  6. Step 6: Final answer
    x = 3,363.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.