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Finding the Fourth Proportional to 16,685.84, 25,028.76 and 6,823.40

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Solution

The fourth proportional to 16,685.84, 25,028.76 and 6,823.40 is: 10,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.84 : 25,028.76 = 6,823.40 : x
  2. Step 2: Convert to fraction form
    16,685.84/25,028.76 = 6,823.40/x
  3. Step 3: Cross multiply
    16,685.84x = 25,028.76 × 6,823.40
  4. Step 4: Simplify right side
    16,685.84x = 170,781,240.98
  5. Step 5: Solve for x
    x = 170,781,240.98/16,685.84
  6. Step 6: Final answer
    x = 10,235.10

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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.