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Finding the Fourth Proportional to 7,230.87, 10,834.97 and 4,307.58

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Solution

The fourth proportional to 7,230.87, 10,834.97 and 4,307.58 is: 6,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.87 : 10,834.97 = 4,307.58 : x
  2. Step 2: Convert to fraction form
    7,230.87/10,834.97 = 4,307.58/x
  3. Step 3: Cross multiply
    7,230.87x = 10,834.97 × 4,307.58
  4. Step 4: Simplify right side
    7,230.87x = 46,672,478.53
  5. Step 5: Solve for x
    x = 46,672,478.53/7,230.87
  6. Step 6: Final answer
    x = 6,454.61

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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.