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Finding the Fourth Proportional to 6,804.76, 10,210.02 and 2,856.90

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Solution

The fourth proportional to 6,804.76, 10,210.02 and 2,856.90 is: 4,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.76 : 10,210.02 = 2,856.90 : x
  2. Step 2: Convert to fraction form
    6,804.76/10,210.02 = 2,856.90/x
  3. Step 3: Cross multiply
    6,804.76x = 10,210.02 × 2,856.90
  4. Step 4: Simplify right side
    6,804.76x = 29,169,006.14
  5. Step 5: Solve for x
    x = 29,169,006.14/6,804.76
  6. Step 6: Final answer
    x = 4,286.56

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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.