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Finding the Fourth Proportional to 12,357.34, 18,535.86 and 4,961.66

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Solution

The fourth proportional to 12,357.34, 18,535.86 and 4,961.66 is: 7,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.34 : 18,535.86 = 4,961.66 : x
  2. Step 2: Convert to fraction form
    12,357.34/18,535.86 = 4,961.66/x
  3. Step 3: Cross multiply
    12,357.34x = 18,535.86 × 4,961.66
  4. Step 4: Simplify right side
    12,357.34x = 91,968,635.13
  5. Step 5: Solve for x
    x = 91,968,635.13/12,357.34
  6. Step 6: Final answer
    x = 7,442.43

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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.