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Finding the Fourth Proportional to 9,791.12, 14,716.92 and 6,352.40

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Solution

The fourth proportional to 9,791.12, 14,716.92 and 6,352.40 is: 9,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.12 : 14,716.92 = 6,352.40 : x
  2. Step 2: Convert to fraction form
    9,791.12/14,716.92 = 6,352.40/x
  3. Step 3: Cross multiply
    9,791.12x = 14,716.92 × 6,352.40
  4. Step 4: Simplify right side
    9,791.12x = 93,487,762.61
  5. Step 5: Solve for x
    x = 93,487,762.61/9,791.12
  6. Step 6: Final answer
    x = 9,548.22

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1.5x scale

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.