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Finding the Fourth Proportional to 6,977.50, 10,471.05 and 2,873.50

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Solution

The fourth proportional to 6,977.50, 10,471.05 and 2,873.50 is: 4,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.50 : 10,471.05 = 2,873.50 : x
  2. Step 2: Convert to fraction form
    6,977.50/10,471.05 = 2,873.50/x
  3. Step 3: Cross multiply
    6,977.50x = 10,471.05 × 2,873.50
  4. Step 4: Simplify right side
    6,977.50x = 30,088,562.18
  5. Step 5: Solve for x
    x = 30,088,562.18/6,977.50
  6. Step 6: Final answer
    x = 4,312.23

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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.