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Finding the Fourth Proportional to 6,091, 9,135.42 and 1,708.84

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Solution

The fourth proportional to 6,091, 9,135.42 and 1,708.84 is: 2,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091 : 9,135.42 = 1,708.84 : x
  2. Step 2: Convert to fraction form
    6,091/9,135.42 = 1,708.84/x
  3. Step 3: Cross multiply
    6,091x = 9,135.42 × 1,708.84
  4. Step 4: Simplify right side
    6,091x = 15,610,971.11
  5. Step 5: Solve for x
    x = 15,610,971.11/6,091
  6. Step 6: Final answer
    x = 2,562.96

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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.