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Finding the Fourth Proportional to 16,307.27, 24,464.04 and 6,947.11

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Solution

The fourth proportional to 16,307.27, 24,464.04 and 6,947.11 is: 10,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.27 : 24,464.04 = 6,947.11 : x
  2. Step 2: Convert to fraction form
    16,307.27/24,464.04 = 6,947.11/x
  3. Step 3: Cross multiply
    16,307.27x = 24,464.04 × 6,947.11
  4. Step 4: Simplify right side
    16,307.27x = 169,954,219.87
  5. Step 5: Solve for x
    x = 169,954,219.87/16,307.27
  6. Step 6: Final answer
    x = 10,421.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.