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Finding the Fourth Proportional to 12,848.16, 17,730.02 and 7,542.84

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Solution

The fourth proportional to 12,848.16, 17,730.02 and 7,542.84 is: 10,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.16 : 17,730.02 = 7,542.84 : x
  2. Step 2: Convert to fraction form
    12,848.16/17,730.02 = 7,542.84/x
  3. Step 3: Cross multiply
    12,848.16x = 17,730.02 × 7,542.84
  4. Step 4: Simplify right side
    12,848.16x = 133,734,704.06
  5. Step 5: Solve for x
    x = 133,734,704.06/12,848.16
  6. Step 6: Final answer
    x = 10,408.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.