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Finding the Fourth Proportional to 11,616.30, 16,030.51 and 6,311.12

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Solution

The fourth proportional to 11,616.30, 16,030.51 and 6,311.12 is: 8,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.30 : 16,030.51 = 6,311.12 : x
  2. Step 2: Convert to fraction form
    11,616.30/16,030.51 = 6,311.12/x
  3. Step 3: Cross multiply
    11,616.30x = 16,030.51 × 6,311.12
  4. Step 4: Simplify right side
    11,616.30x = 101,170,472.27
  5. Step 5: Solve for x
    x = 101,170,472.27/11,616.30
  6. Step 6: Final answer
    x = 8,709.35

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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.