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Finding the Fourth Proportional to 6,646.14, 9,169.06 and 5,806.88

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Solution

The fourth proportional to 6,646.14, 9,169.06 and 5,806.88 is: 8,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.14 : 9,169.06 = 5,806.88 : x
  2. Step 2: Convert to fraction form
    6,646.14/9,169.06 = 5,806.88/x
  3. Step 3: Cross multiply
    6,646.14x = 9,169.06 × 5,806.88
  4. Step 4: Simplify right side
    6,646.14x = 53,243,556.25
  5. Step 5: Solve for x
    x = 53,243,556.25/6,646.14
  6. Step 6: Final answer
    x = 8,011.20

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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.