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Finding the Fourth Proportional to 3,470.14, 5,204.79 and 873.07

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Solution

The fourth proportional to 3,470.14, 5,204.79 and 873.07 is: 1,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.14 : 5,204.79 = 873.07 : x
  2. Step 2: Convert to fraction form
    3,470.14/5,204.79 = 873.07/x
  3. Step 3: Cross multiply
    3,470.14x = 5,204.79 × 873.07
  4. Step 4: Simplify right side
    3,470.14x = 4,544,146.01
  5. Step 5: Solve for x
    x = 4,544,146.01/3,470.14
  6. Step 6: Final answer
    x = 1,309.50

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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.