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Finding the Fourth Proportional to 9,791.80, 14,687.70 and 9,597.40

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Solution

The fourth proportional to 9,791.80, 14,687.70 and 9,597.40 is: 14,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.80 : 14,687.70 = 9,597.40 : x
  2. Step 2: Convert to fraction form
    9,791.80/14,687.70 = 9,597.40/x
  3. Step 3: Cross multiply
    9,791.80x = 14,687.70 × 9,597.40
  4. Step 4: Simplify right side
    9,791.80x = 140,963,731.98
  5. Step 5: Solve for x
    x = 140,963,731.98/9,791.80
  6. Step 6: Final answer
    x = 14,396.10

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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.