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Finding the Fourth Proportional to 16,010.71, 24,019.08 and 6,149.23

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Solution

The fourth proportional to 16,010.71, 24,019.08 and 6,149.23 is: 9,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.71 : 24,019.08 = 6,149.23 : x
  2. Step 2: Convert to fraction form
    16,010.71/24,019.08 = 6,149.23/x
  3. Step 3: Cross multiply
    16,010.71x = 24,019.08 × 6,149.23
  4. Step 4: Simplify right side
    16,010.71x = 147,698,847.31
  5. Step 5: Solve for x
    x = 147,698,847.31/16,010.71
  6. Step 6: Final answer
    x = 9,225.00

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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.