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Finding the Fourth Proportional to 6,783.71, 10,191.15 and 4,814.24

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Solution

The fourth proportional to 6,783.71, 10,191.15 and 4,814.24 is: 7,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.71 : 10,191.15 = 4,814.24 : x
  2. Step 2: Convert to fraction form
    6,783.71/10,191.15 = 4,814.24/x
  3. Step 3: Cross multiply
    6,783.71x = 10,191.15 × 4,814.24
  4. Step 4: Simplify right side
    6,783.71x = 49,062,591.02
  5. Step 5: Solve for x
    x = 49,062,591.02/6,783.71
  6. Step 6: Final answer
    x = 7,232.42

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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.