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Finding the Fourth Proportional to 6,842.66, 9,442.01 and 4,011

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Solution

The fourth proportional to 6,842.66, 9,442.01 and 4,011 is: 5,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.66 : 9,442.01 = 4,011 : x
  2. Step 2: Convert to fraction form
    6,842.66/9,442.01 = 4,011/x
  3. Step 3: Cross multiply
    6,842.66x = 9,442.01 × 4,011
  4. Step 4: Simplify right side
    6,842.66x = 37,871,882.06
  5. Step 5: Solve for x
    x = 37,871,882.06/6,842.66
  6. Step 6: Final answer
    x = 5,534.68

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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.