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Finding the Fourth Proportional to 10,842.57, 16,169.78 and 9,792.81

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Solution

The fourth proportional to 10,842.57, 16,169.78 and 9,792.81 is: 14,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.57 : 16,169.78 = 9,792.81 : x
  2. Step 2: Convert to fraction form
    10,842.57/16,169.78 = 9,792.81/x
  3. Step 3: Cross multiply
    10,842.57x = 16,169.78 × 9,792.81
  4. Step 4: Simplify right side
    10,842.57x = 158,347,607.76
  5. Step 5: Solve for x
    x = 158,347,607.76/10,842.57
  6. Step 6: Final answer
    x = 14,604.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.