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Finding the Fourth Proportional to 6,595.54, 9,897.29 and 3,477.85

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Solution

The fourth proportional to 6,595.54, 9,897.29 and 3,477.85 is: 5,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.54 : 9,897.29 = 3,477.85 : x
  2. Step 2: Convert to fraction form
    6,595.54/9,897.29 = 3,477.85/x
  3. Step 3: Cross multiply
    6,595.54x = 9,897.29 × 3,477.85
  4. Step 4: Simplify right side
    6,595.54x = 34,421,290.03
  5. Step 5: Solve for x
    x = 34,421,290.03/6,595.54
  6. Step 6: Final answer
    x = 5,218.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.