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Finding the Fourth Proportional to 24,313.84, 36,470.24 and 6,783.20

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Solution

The fourth proportional to 24,313.84, 36,470.24 and 6,783.20 is: 10,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.84 : 36,470.24 = 6,783.20 : x
  2. Step 2: Convert to fraction form
    24,313.84/36,470.24 = 6,783.20/x
  3. Step 3: Cross multiply
    24,313.84x = 36,470.24 × 6,783.20
  4. Step 4: Simplify right side
    24,313.84x = 247,384,931.97
  5. Step 5: Solve for x
    x = 247,384,931.97/24,313.84
  6. Step 6: Final answer
    x = 10,174.65

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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.