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Finding the Fourth Proportional to 7,024.06, 9,692.71 and 3,880

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Solution

The fourth proportional to 7,024.06, 9,692.71 and 3,880 is: 5,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.06 : 9,692.71 = 3,880 : x
  2. Step 2: Convert to fraction form
    7,024.06/9,692.71 = 3,880/x
  3. Step 3: Cross multiply
    7,024.06x = 9,692.71 × 3,880
  4. Step 4: Simplify right side
    7,024.06x = 37,607,714.80
  5. Step 5: Solve for x
    x = 37,607,714.80/7,024.06
  6. Step 6: Final answer
    x = 5,354.13

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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.