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Finding the Fourth Proportional to 9,785, 13,504.20 and 5,593.52

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Solution

The fourth proportional to 9,785, 13,504.20 and 5,593.52 is: 7,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785 : 13,504.20 = 5,593.52 : x
  2. Step 2: Convert to fraction form
    9,785/13,504.20 = 5,593.52/x
  3. Step 3: Cross multiply
    9,785x = 13,504.20 × 5,593.52
  4. Step 4: Simplify right side
    9,785x = 75,536,012.78
  5. Step 5: Solve for x
    x = 75,536,012.78/9,785
  6. Step 6: Final answer
    x = 7,719.57

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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.