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Finding the Fourth Proportional to 6,564.70, 9,841.65 and 3,486.70

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Solution

The fourth proportional to 6,564.70, 9,841.65 and 3,486.70 is: 5,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.70 : 9,841.65 = 3,486.70 : x
  2. Step 2: Convert to fraction form
    6,564.70/9,841.65 = 3,486.70/x
  3. Step 3: Cross multiply
    6,564.70x = 9,841.65 × 3,486.70
  4. Step 4: Simplify right side
    6,564.70x = 34,314,881.06
  5. Step 5: Solve for x
    x = 34,314,881.06/6,564.70
  6. Step 6: Final answer
    x = 5,227.18

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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.