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Finding the Fourth Proportional to 7,009.88, 9,673.22 and 4,180.44

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Solution

The fourth proportional to 7,009.88, 9,673.22 and 4,180.44 is: 5,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.88 : 9,673.22 = 4,180.44 : x
  2. Step 2: Convert to fraction form
    7,009.88/9,673.22 = 4,180.44/x
  3. Step 3: Cross multiply
    7,009.88x = 9,673.22 × 4,180.44
  4. Step 4: Simplify right side
    7,009.88x = 40,438,315.82
  5. Step 5: Solve for x
    x = 40,438,315.82/7,009.88
  6. Step 6: Final answer
    x = 5,768.76

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Half scale
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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.