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Finding the Fourth Proportional to 7,834.87, 10,813.94 and 5,035.51

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Solution

The fourth proportional to 7,834.87, 10,813.94 and 5,035.51 is: 6,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.87 : 10,813.94 = 5,035.51 : x
  2. Step 2: Convert to fraction form
    7,834.87/10,813.94 = 5,035.51/x
  3. Step 3: Cross multiply
    7,834.87x = 10,813.94 × 5,035.51
  4. Step 4: Simplify right side
    7,834.87x = 54,453,703.01
  5. Step 5: Solve for x
    x = 54,453,703.01/7,834.87
  6. Step 6: Final answer
    x = 6,950.17

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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.