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Finding the Fourth Proportional to 7,213.74, 9,948.06 and 4,381.58

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Solution

The fourth proportional to 7,213.74, 9,948.06 and 4,381.58 is: 6,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.74 : 9,948.06 = 4,381.58 : x
  2. Step 2: Convert to fraction form
    7,213.74/9,948.06 = 4,381.58/x
  3. Step 3: Cross multiply
    7,213.74x = 9,948.06 × 4,381.58
  4. Step 4: Simplify right side
    7,213.74x = 43,588,170.99
  5. Step 5: Solve for x
    x = 43,588,170.99/7,213.74
  6. Step 6: Final answer
    x = 6,042.38

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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.