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Finding the Fourth Proportional to 16,297.92, 24,448.19 and 5,206.19

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Solution

The fourth proportional to 16,297.92, 24,448.19 and 5,206.19 is: 7,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.92 : 24,448.19 = 5,206.19 : x
  2. Step 2: Convert to fraction form
    16,297.92/24,448.19 = 5,206.19/x
  3. Step 3: Cross multiply
    16,297.92x = 24,448.19 × 5,206.19
  4. Step 4: Simplify right side
    16,297.92x = 127,281,774.02
  5. Step 5: Solve for x
    x = 127,281,774.02/16,297.92
  6. Step 6: Final answer
    x = 7,809.69

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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.