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Finding the Fourth Proportional to 9,704.91, 13,375.01 and 7,047.71

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Solution

The fourth proportional to 9,704.91, 13,375.01 and 7,047.71 is: 9,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.91 : 13,375.01 = 7,047.71 : x
  2. Step 2: Convert to fraction form
    9,704.91/13,375.01 = 7,047.71/x
  3. Step 3: Cross multiply
    9,704.91x = 13,375.01 × 7,047.71
  4. Step 4: Simplify right side
    9,704.91x = 94,263,142.47
  5. Step 5: Solve for x
    x = 94,263,142.47/9,704.91
  6. Step 6: Final answer
    x = 9,712.93

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1.5x scale

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.