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Finding the Fourth Proportional to 7,009.92, 9,686.52 and 6,668.24

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Solution

The fourth proportional to 7,009.92, 9,686.52 and 6,668.24 is: 9,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.92 : 9,686.52 = 6,668.24 : x
  2. Step 2: Convert to fraction form
    7,009.92/9,686.52 = 6,668.24/x
  3. Step 3: Cross multiply
    7,009.92x = 9,686.52 × 6,668.24
  4. Step 4: Simplify right side
    7,009.92x = 64,591,991.69
  5. Step 5: Solve for x
    x = 64,591,991.69/7,009.92
  6. Step 6: Final answer
    x = 9,214.37

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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.