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Finding the Fourth Proportional to 9,791.61, 14,687.40 and 2,396.06

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Solution

The fourth proportional to 9,791.61, 14,687.40 and 2,396.06 is: 3,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.61 : 14,687.40 = 2,396.06 : x
  2. Step 2: Convert to fraction form
    9,791.61/14,687.40 = 2,396.06/x
  3. Step 3: Cross multiply
    9,791.61x = 14,687.40 × 2,396.06
  4. Step 4: Simplify right side
    9,791.61x = 35,191,818.21
  5. Step 5: Solve for x
    x = 35,191,818.21/9,791.61
  6. Step 6: Final answer
    x = 3,594.08

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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.