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Finding the Fourth Proportional to 12,246.54, 16,900.26 and 6,657.54

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Solution

The fourth proportional to 12,246.54, 16,900.26 and 6,657.54 is: 9,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.54 : 16,900.26 = 6,657.54 : x
  2. Step 2: Convert to fraction form
    12,246.54/16,900.26 = 6,657.54/x
  3. Step 3: Cross multiply
    12,246.54x = 16,900.26 × 6,657.54
  4. Step 4: Simplify right side
    12,246.54x = 112,514,156.96
  5. Step 5: Solve for x
    x = 112,514,156.96/12,246.54
  6. Step 6: Final answer
    x = 9,187.42

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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.