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Finding the Fourth Proportional to 16,297.71, 24,444.99 and 5,202.43

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Solution

The fourth proportional to 16,297.71, 24,444.99 and 5,202.43 is: 7,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.71 : 24,444.99 = 5,202.43 : x
  2. Step 2: Convert to fraction form
    16,297.71/24,444.99 = 5,202.43/x
  3. Step 3: Cross multiply
    16,297.71x = 24,444.99 × 5,202.43
  4. Step 4: Simplify right side
    16,297.71x = 127,173,288.21
  5. Step 5: Solve for x
    x = 127,173,288.21/16,297.71
  6. Step 6: Final answer
    x = 7,803.14

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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.