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Finding the Fourth Proportional to 4,849.79, 7,274.14 and 1,340.06

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Solution

The fourth proportional to 4,849.79, 7,274.14 and 1,340.06 is: 2,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.79 : 7,274.14 = 1,340.06 : x
  2. Step 2: Convert to fraction form
    4,849.79/7,274.14 = 1,340.06/x
  3. Step 3: Cross multiply
    4,849.79x = 7,274.14 × 1,340.06
  4. Step 4: Simplify right side
    4,849.79x = 9,747,784.05
  5. Step 5: Solve for x
    x = 9,747,784.05/4,849.79
  6. Step 6: Final answer
    x = 2,009.94

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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.