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Finding the Fourth Proportional to 7,930, 10,938.60 and 6,592.08

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Solution

The fourth proportional to 7,930, 10,938.60 and 6,592.08 is: 9,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930 : 10,938.60 = 6,592.08 : x
  2. Step 2: Convert to fraction form
    7,930/10,938.60 = 6,592.08/x
  3. Step 3: Cross multiply
    7,930x = 10,938.60 × 6,592.08
  4. Step 4: Simplify right side
    7,930x = 72,108,126.29
  5. Step 5: Solve for x
    x = 72,108,126.29/7,930
  6. Step 6: Final answer
    x = 9,093.08

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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.