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Finding the Fourth Proportional to 8,548.97, 12,823.46 and 6,828.53

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Solution

The fourth proportional to 8,548.97, 12,823.46 and 6,828.53 is: 10,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.97 : 12,823.46 = 6,828.53 : x
  2. Step 2: Convert to fraction form
    8,548.97/12,823.46 = 6,828.53/x
  3. Step 3: Cross multiply
    8,548.97x = 12,823.46 × 6,828.53
  4. Step 4: Simplify right side
    8,548.97x = 87,565,283.05
  5. Step 5: Solve for x
    x = 87,565,283.05/8,548.97
  6. Step 6: Final answer
    x = 10,242.79

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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.