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Finding the Fourth Proportional to 6,551.11, 9,824.93 and 4,470.74

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Solution

The fourth proportional to 6,551.11, 9,824.93 and 4,470.74 is: 6,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.11 : 9,824.93 = 4,470.74 : x
  2. Step 2: Convert to fraction form
    6,551.11/9,824.93 = 4,470.74/x
  3. Step 3: Cross multiply
    6,551.11x = 9,824.93 × 4,470.74
  4. Step 4: Simplify right side
    6,551.11x = 43,924,636.07
  5. Step 5: Solve for x
    x = 43,924,636.07/6,551.11
  6. Step 6: Final answer
    x = 6,704.92

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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.