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Finding the Fourth Proportional to 6,595.38, 9,094.77 and 5,654.34

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Solution

The fourth proportional to 6,595.38, 9,094.77 and 5,654.34 is: 7,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.38 : 9,094.77 = 5,654.34 : x
  2. Step 2: Convert to fraction form
    6,595.38/9,094.77 = 5,654.34/x
  3. Step 3: Cross multiply
    6,595.38x = 9,094.77 × 5,654.34
  4. Step 4: Simplify right side
    6,595.38x = 51,424,921.80
  5. Step 5: Solve for x
    x = 51,424,921.80/6,595.38
  6. Step 6: Final answer
    x = 7,797.11

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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.