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Finding the Fourth Proportional to 6,704.47, 9,256.24 and 5,209.57

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Solution

The fourth proportional to 6,704.47, 9,256.24 and 5,209.57 is: 7,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.47 : 9,256.24 = 5,209.57 : x
  2. Step 2: Convert to fraction form
    6,704.47/9,256.24 = 5,209.57/x
  3. Step 3: Cross multiply
    6,704.47x = 9,256.24 × 5,209.57
  4. Step 4: Simplify right side
    6,704.47x = 48,221,030.22
  5. Step 5: Solve for x
    x = 48,221,030.22/6,704.47
  6. Step 6: Final answer
    x = 7,192.37

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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.