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Finding the Fourth Proportional to 27,672.60, 41,508.90 and 6,896.10

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Solution

The fourth proportional to 27,672.60, 41,508.90 and 6,896.10 is: 10,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.60 : 41,508.90 = 6,896.10 : x
  2. Step 2: Convert to fraction form
    27,672.60/41,508.90 = 6,896.10/x
  3. Step 3: Cross multiply
    27,672.60x = 41,508.90 × 6,896.10
  4. Step 4: Simplify right side
    27,672.60x = 286,249,525.29
  5. Step 5: Solve for x
    x = 286,249,525.29/27,672.60
  6. Step 6: Final answer
    x = 10,344.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.