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Finding the Fourth Proportional to 16,497.67, 24,734.75 and 7,727.80

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Solution

The fourth proportional to 16,497.67, 24,734.75 and 7,727.80 is: 11,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.67 : 24,734.75 = 7,727.80 : x
  2. Step 2: Convert to fraction form
    16,497.67/24,734.75 = 7,727.80/x
  3. Step 3: Cross multiply
    16,497.67x = 24,734.75 × 7,727.80
  4. Step 4: Simplify right side
    16,497.67x = 191,145,038.74
  5. Step 5: Solve for x
    x = 191,145,038.74/16,497.67
  6. Step 6: Final answer
    x = 11,586.19

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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.