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Finding the Fourth Proportional to 16,465.71, 22,727.79 and 9,396.84

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Solution

The fourth proportional to 16,465.71, 22,727.79 and 9,396.84 is: 12,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.71 : 22,727.79 = 9,396.84 : x
  2. Step 2: Convert to fraction form
    16,465.71/22,727.79 = 9,396.84/x
  3. Step 3: Cross multiply
    16,465.71x = 22,727.79 × 9,396.84
  4. Step 4: Simplify right side
    16,465.71x = 213,569,406.18
  5. Step 5: Solve for x
    x = 213,569,406.18/16,465.71
  6. Step 6: Final answer
    x = 12,970.56

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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.