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Finding the Fourth Proportional to 16,842.25, 25,263.61 and 8,075.11

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Solution

The fourth proportional to 16,842.25, 25,263.61 and 8,075.11 is: 12,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.25 : 25,263.61 = 8,075.11 : x
  2. Step 2: Convert to fraction form
    16,842.25/25,263.61 = 8,075.11/x
  3. Step 3: Cross multiply
    16,842.25x = 25,263.61 × 8,075.11
  4. Step 4: Simplify right side
    16,842.25x = 204,006,346.40
  5. Step 5: Solve for x
    x = 204,006,346.40/16,842.25
  6. Step 6: Final answer
    x = 12,112.77

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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.