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Finding the Fourth Proportional to 17,646.06, 24,351.84 and 9,689

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Solution

The fourth proportional to 17,646.06, 24,351.84 and 9,689 is: 13,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.06 : 24,351.84 = 9,689 : x
  2. Step 2: Convert to fraction form
    17,646.06/24,351.84 = 9,689/x
  3. Step 3: Cross multiply
    17,646.06x = 24,351.84 × 9,689
  4. Step 4: Simplify right side
    17,646.06x = 235,944,977.76
  5. Step 5: Solve for x
    x = 235,944,977.76/17,646.06
  6. Step 6: Final answer
    x = 13,370.97

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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.