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Finding the Fourth Proportional to 9,689.09, 13,371.14 and 7,567.09

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Solution

The fourth proportional to 9,689.09, 13,371.14 and 7,567.09 is: 10,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.09 : 13,371.14 = 7,567.09 : x
  2. Step 2: Convert to fraction form
    9,689.09/13,371.14 = 7,567.09/x
  3. Step 3: Cross multiply
    9,689.09x = 13,371.14 × 7,567.09
  4. Step 4: Simplify right side
    9,689.09x = 101,180,627.04
  5. Step 5: Solve for x
    x = 101,180,627.04/9,689.09
  6. Step 6: Final answer
    x = 10,442.74

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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.