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Finding the Fourth Proportional to 6,277, 9,416.04 and 1,660

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Solution

The fourth proportional to 6,277, 9,416.04 and 1,660 is: 2,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277 : 9,416.04 = 1,660 : x
  2. Step 2: Convert to fraction form
    6,277/9,416.04 = 1,660/x
  3. Step 3: Cross multiply
    6,277x = 9,416.04 × 1,660
  4. Step 4: Simplify right side
    6,277x = 15,630,626.40
  5. Step 5: Solve for x
    x = 15,630,626.40/6,277
  6. Step 6: Final answer
    x = 2,490.14

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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.