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Finding the Fourth Proportional to 6,564.74, 9,842.75 and 3,440.97

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Solution

The fourth proportional to 6,564.74, 9,842.75 and 3,440.97 is: 5,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.74 : 9,842.75 = 3,440.97 : x
  2. Step 2: Convert to fraction form
    6,564.74/9,842.75 = 3,440.97/x
  3. Step 3: Cross multiply
    6,564.74x = 9,842.75 × 3,440.97
  4. Step 4: Simplify right side
    6,564.74x = 33,868,590.26
  5. Step 5: Solve for x
    x = 33,868,590.26/6,564.74
  6. Step 6: Final answer
    x = 5,159.17

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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.