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Finding the Fourth Proportional to 10,609.92, 15,896.66 and 9,684.09

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Solution

The fourth proportional to 10,609.92, 15,896.66 and 9,684.09 is: 14,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.92 : 15,896.66 = 9,684.09 : x
  2. Step 2: Convert to fraction form
    10,609.92/15,896.66 = 9,684.09/x
  3. Step 3: Cross multiply
    10,609.92x = 15,896.66 × 9,684.09
  4. Step 4: Simplify right side
    10,609.92x = 153,944,637.72
  5. Step 5: Solve for x
    x = 153,944,637.72/10,609.92
  6. Step 6: Final answer
    x = 14,509.50

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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.