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Finding the Fourth Proportional to 6,564.71, 9,059.13 and 3,580.53

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Solution

The fourth proportional to 6,564.71, 9,059.13 and 3,580.53 is: 4,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.71 : 9,059.13 = 3,580.53 : x
  2. Step 2: Convert to fraction form
    6,564.71/9,059.13 = 3,580.53/x
  3. Step 3: Cross multiply
    6,564.71x = 9,059.13 × 3,580.53
  4. Step 4: Simplify right side
    6,564.71x = 32,436,486.74
  5. Step 5: Solve for x
    x = 32,436,486.74/6,564.71
  6. Step 6: Final answer
    x = 4,941.04

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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.