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Finding the Fourth Proportional to 16,412.96, 24,616.96 and 6,022.24

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Solution

The fourth proportional to 16,412.96, 24,616.96 and 6,022.24 is: 9,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.96 : 24,616.96 = 6,022.24 : x
  2. Step 2: Convert to fraction form
    16,412.96/24,616.96 = 6,022.24/x
  3. Step 3: Cross multiply
    16,412.96x = 24,616.96 × 6,022.24
  4. Step 4: Simplify right side
    16,412.96x = 148,249,241.19
  5. Step 5: Solve for x
    x = 148,249,241.19/16,412.96
  6. Step 6: Final answer
    x = 9,032.45

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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.