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Finding the Fourth Proportional to 16,365.75, 24,545.16 and 7,478.56

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Solution

The fourth proportional to 16,365.75, 24,545.16 and 7,478.56 is: 11,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.75 : 24,545.16 = 7,478.56 : x
  2. Step 2: Convert to fraction form
    16,365.75/24,545.16 = 7,478.56/x
  3. Step 3: Cross multiply
    16,365.75x = 24,545.16 × 7,478.56
  4. Step 4: Simplify right side
    16,365.75x = 183,562,451.77
  5. Step 5: Solve for x
    x = 183,562,451.77/16,365.75
  6. Step 6: Final answer
    x = 11,216.26

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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.