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Finding the Fourth Proportional to 6,316.70, 9,473.70 and 2,806.70

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Solution

The fourth proportional to 6,316.70, 9,473.70 and 2,806.70 is: 4,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.70 : 9,473.70 = 2,806.70 : x
  2. Step 2: Convert to fraction form
    6,316.70/9,473.70 = 2,806.70/x
  3. Step 3: Cross multiply
    6,316.70x = 9,473.70 × 2,806.70
  4. Step 4: Simplify right side
    6,316.70x = 26,589,833.79
  5. Step 5: Solve for x
    x = 26,589,833.79/6,316.70
  6. Step 6: Final answer
    x = 4,209.45

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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.