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Finding the Fourth Proportional to 7,834.70, 10,809.73 and 5,041.82

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Solution

The fourth proportional to 7,834.70, 10,809.73 and 5,041.82 is: 6,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.70 : 10,809.73 = 5,041.82 : x
  2. Step 2: Convert to fraction form
    7,834.70/10,809.73 = 5,041.82/x
  3. Step 3: Cross multiply
    7,834.70x = 10,809.73 × 5,041.82
  4. Step 4: Simplify right side
    7,834.70x = 54,500,712.91
  5. Step 5: Solve for x
    x = 54,500,712.91/7,834.70
  6. Step 6: Final answer
    x = 6,956.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.