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Finding the Fourth Proportional to 24,316.72, 36,473.76 and 6,786.16

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Solution

The fourth proportional to 24,316.72, 36,473.76 and 6,786.16 is: 10,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.72 : 36,473.76 = 6,786.16 : x
  2. Step 2: Convert to fraction form
    24,316.72/36,473.76 = 6,786.16/x
  3. Step 3: Cross multiply
    24,316.72x = 36,473.76 × 6,786.16
  4. Step 4: Simplify right side
    24,316.72x = 247,516,771.16
  5. Step 5: Solve for x
    x = 247,516,771.16/24,316.72
  6. Step 6: Final answer
    x = 10,178.87

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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.