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Finding the Fourth Proportional to 12,506.52, 18,745.12 and 6,957.24

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Solution

The fourth proportional to 12,506.52, 18,745.12 and 6,957.24 is: 10,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.52 : 18,745.12 = 6,957.24 : x
  2. Step 2: Convert to fraction form
    12,506.52/18,745.12 = 6,957.24/x
  3. Step 3: Cross multiply
    12,506.52x = 18,745.12 × 6,957.24
  4. Step 4: Simplify right side
    12,506.52x = 130,414,298.67
  5. Step 5: Solve for x
    x = 130,414,298.67/12,506.52
  6. Step 6: Final answer
    x = 10,427.70

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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.