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Finding the Fourth Proportional to 4,891.53, 6,743.61 and 3,098.10

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Solution

The fourth proportional to 4,891.53, 6,743.61 and 3,098.10 is: 4,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.53 : 6,743.61 = 3,098.10 : x
  2. Step 2: Convert to fraction form
    4,891.53/6,743.61 = 3,098.10/x
  3. Step 3: Cross multiply
    4,891.53x = 6,743.61 × 3,098.10
  4. Step 4: Simplify right side
    4,891.53x = 20,892,378.14
  5. Step 5: Solve for x
    x = 20,892,378.14/4,891.53
  6. Step 6: Final answer
    x = 4,271.13

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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.