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Finding the Fourth Proportional to 9,794.50, 13,516.41 and 5,602.75

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Solution

The fourth proportional to 9,794.50, 13,516.41 and 5,602.75 is: 7,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.50 : 13,516.41 = 5,602.75 : x
  2. Step 2: Convert to fraction form
    9,794.50/13,516.41 = 5,602.75/x
  3. Step 3: Cross multiply
    9,794.50x = 13,516.41 × 5,602.75
  4. Step 4: Simplify right side
    9,794.50x = 75,729,066.13
  5. Step 5: Solve for x
    x = 75,729,066.13/9,794.50
  6. Step 6: Final answer
    x = 7,731.80

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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.