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Finding the Fourth Proportional to 11,647.51, 16,078.98 and 6,865.95

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Solution

The fourth proportional to 11,647.51, 16,078.98 and 6,865.95 is: 9,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.51 : 16,078.98 = 6,865.95 : x
  2. Step 2: Convert to fraction form
    11,647.51/16,078.98 = 6,865.95/x
  3. Step 3: Cross multiply
    11,647.51x = 16,078.98 × 6,865.95
  4. Step 4: Simplify right side
    11,647.51x = 110,397,472.73
  5. Step 5: Solve for x
    x = 110,397,472.73/11,647.51
  6. Step 6: Final answer
    x = 9,478.20

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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.