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Finding the Fourth Proportional to 7,006.74, 9,668.21 and 4,022.16

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Solution

The fourth proportional to 7,006.74, 9,668.21 and 4,022.16 is: 5,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.74 : 9,668.21 = 4,022.16 : x
  2. Step 2: Convert to fraction form
    7,006.74/9,668.21 = 4,022.16/x
  3. Step 3: Cross multiply
    7,006.74x = 9,668.21 × 4,022.16
  4. Step 4: Simplify right side
    7,006.74x = 38,887,067.42
  5. Step 5: Solve for x
    x = 38,887,067.42/7,006.74
  6. Step 6: Final answer
    x = 5,549.95

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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.