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Finding the Fourth Proportional to 7,009.24, 9,672.78 and 3,865.52

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Solution

The fourth proportional to 7,009.24, 9,672.78 and 3,865.52 is: 5,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.24 : 9,672.78 = 3,865.52 : x
  2. Step 2: Convert to fraction form
    7,009.24/9,672.78 = 3,865.52/x
  3. Step 3: Cross multiply
    7,009.24x = 9,672.78 × 3,865.52
  4. Step 4: Simplify right side
    7,009.24x = 37,390,324.55
  5. Step 5: Solve for x
    x = 37,390,324.55/7,009.24
  6. Step 6: Final answer
    x = 5,334.43

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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.