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Finding the Fourth Proportional to 16,246.14, 24,378.93 and 7,012.14

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Solution

The fourth proportional to 16,246.14, 24,378.93 and 7,012.14 is: 10,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.14 : 24,378.93 = 7,012.14 : x
  2. Step 2: Convert to fraction form
    16,246.14/24,378.93 = 7,012.14/x
  3. Step 3: Cross multiply
    16,246.14x = 24,378.93 × 7,012.14
  4. Step 4: Simplify right side
    16,246.14x = 170,948,470.21
  5. Step 5: Solve for x
    x = 170,948,470.21/16,246.14
  6. Step 6: Final answer
    x = 10,522.41

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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.