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Finding the Fourth Proportional to 11,616.70, 16,032.42 and 6,901

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Solution

The fourth proportional to 11,616.70, 16,032.42 and 6,901 is: 9,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.70 : 16,032.42 = 6,901 : x
  2. Step 2: Convert to fraction form
    11,616.70/16,032.42 = 6,901/x
  3. Step 3: Cross multiply
    11,616.70x = 16,032.42 × 6,901
  4. Step 4: Simplify right side
    11,616.70x = 110,639,730.42
  5. Step 5: Solve for x
    x = 110,639,730.42/11,616.70
  6. Step 6: Final answer
    x = 9,524.20

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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.