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Finding the Fourth Proportional to 6,103.53, 9,155.88 and 1,661.25

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Solution

The fourth proportional to 6,103.53, 9,155.88 and 1,661.25 is: 2,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.53 : 9,155.88 = 1,661.25 : x
  2. Step 2: Convert to fraction form
    6,103.53/9,155.88 = 1,661.25/x
  3. Step 3: Cross multiply
    6,103.53x = 9,155.88 × 1,661.25
  4. Step 4: Simplify right side
    6,103.53x = 15,210,205.65
  5. Step 5: Solve for x
    x = 15,210,205.65/6,103.53
  6. Step 6: Final answer
    x = 2,492.03

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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.