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Finding the Fourth Proportional to 10,759.96, 16,202.86 and 9,389.71

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Solution

The fourth proportional to 10,759.96, 16,202.86 and 9,389.71 is: 14,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.96 : 16,202.86 = 9,389.71 : x
  2. Step 2: Convert to fraction form
    10,759.96/16,202.86 = 9,389.71/x
  3. Step 3: Cross multiply
    10,759.96x = 16,202.86 × 9,389.71
  4. Step 4: Simplify right side
    10,759.96x = 152,140,156.57
  5. Step 5: Solve for x
    x = 152,140,156.57/10,759.96
  6. Step 6: Final answer
    x = 14,139.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.