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Finding the Fourth Proportional to 6,153.65, 9,230.61 and 2,205.17

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Solution

The fourth proportional to 6,153.65, 9,230.61 and 2,205.17 is: 3,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.65 : 9,230.61 = 2,205.17 : x
  2. Step 2: Convert to fraction form
    6,153.65/9,230.61 = 2,205.17/x
  3. Step 3: Cross multiply
    6,153.65x = 9,230.61 × 2,205.17
  4. Step 4: Simplify right side
    6,153.65x = 20,355,007.07
  5. Step 5: Solve for x
    x = 20,355,007.07/6,153.65
  6. Step 6: Final answer
    x = 3,307.80

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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.