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Finding the Fourth Proportional to 6,569.04, 9,855.36 and 3,278.16

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Solution

The fourth proportional to 6,569.04, 9,855.36 and 3,278.16 is: 4,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.04 : 9,855.36 = 3,278.16 : x
  2. Step 2: Convert to fraction form
    6,569.04/9,855.36 = 3,278.16/x
  3. Step 3: Cross multiply
    6,569.04x = 9,855.36 × 3,278.16
  4. Step 4: Simplify right side
    6,569.04x = 32,307,446.94
  5. Step 5: Solve for x
    x = 32,307,446.94/6,569.04
  6. Step 6: Final answer
    x = 4,918.14

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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.