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Finding the Fourth Proportional to 6,009.28, 9,014.78 and 1,849.63

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Solution

The fourth proportional to 6,009.28, 9,014.78 and 1,849.63 is: 2,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.28 : 9,014.78 = 1,849.63 : x
  2. Step 2: Convert to fraction form
    6,009.28/9,014.78 = 1,849.63/x
  3. Step 3: Cross multiply
    6,009.28x = 9,014.78 × 1,849.63
  4. Step 4: Simplify right side
    6,009.28x = 16,674,007.53
  5. Step 5: Solve for x
    x = 16,674,007.53/6,009.28
  6. Step 6: Final answer
    x = 2,774.71

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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.