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Finding the Fourth Proportional to 5,047.74, 6,966.21 and 2,809.83

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Solution

The fourth proportional to 5,047.74, 6,966.21 and 2,809.83 is: 3,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.74 : 6,966.21 = 2,809.83 : x
  2. Step 2: Convert to fraction form
    5,047.74/6,966.21 = 2,809.83/x
  3. Step 3: Cross multiply
    5,047.74x = 6,966.21 × 2,809.83
  4. Step 4: Simplify right side
    5,047.74x = 19,573,865.84
  5. Step 5: Solve for x
    x = 19,573,865.84/5,047.74
  6. Step 6: Final answer
    x = 3,877.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.