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Finding the Fourth Proportional to 6,709.84, 10,057.48 and 2,809.70

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Solution

The fourth proportional to 6,709.84, 10,057.48 and 2,809.70 is: 4,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.84 : 10,057.48 = 2,809.70 : x
  2. Step 2: Convert to fraction form
    6,709.84/10,057.48 = 2,809.70/x
  3. Step 3: Cross multiply
    6,709.84x = 10,057.48 × 2,809.70
  4. Step 4: Simplify right side
    6,709.84x = 28,258,501.56
  5. Step 5: Solve for x
    x = 28,258,501.56/6,709.84
  6. Step 6: Final answer
    x = 4,211.50

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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.