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Finding the Fourth Proportional to 16,364.75, 24,543.66 and 7,477.56

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Solution

The fourth proportional to 16,364.75, 24,543.66 and 7,477.56 is: 11,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.75 : 24,543.66 = 7,477.56 : x
  2. Step 2: Convert to fraction form
    16,364.75/24,543.66 = 7,477.56/x
  3. Step 3: Cross multiply
    16,364.75x = 24,543.66 × 7,477.56
  4. Step 4: Simplify right side
    16,364.75x = 183,526,718.31
  5. Step 5: Solve for x
    x = 183,526,718.31/16,364.75
  6. Step 6: Final answer
    x = 11,214.76

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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.