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Finding the Fourth Proportional to 5,948.66, 8,213.16 and 5,317.17

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Solution

The fourth proportional to 5,948.66, 8,213.16 and 5,317.17 is: 7,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.66 : 8,213.16 = 5,317.17 : x
  2. Step 2: Convert to fraction form
    5,948.66/8,213.16 = 5,317.17/x
  3. Step 3: Cross multiply
    5,948.66x = 8,213.16 × 5,317.17
  4. Step 4: Simplify right side
    5,948.66x = 43,670,757.10
  5. Step 5: Solve for x
    x = 43,670,757.10/5,948.66
  6. Step 6: Final answer
    x = 7,341.27

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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.