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Finding the Fourth Proportional to 6,153.87, 9,233.10 and 3,690.46

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Solution

The fourth proportional to 6,153.87, 9,233.10 and 3,690.46 is: 5,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.87 : 9,233.10 = 3,690.46 : x
  2. Step 2: Convert to fraction form
    6,153.87/9,233.10 = 3,690.46/x
  3. Step 3: Cross multiply
    6,153.87x = 9,233.10 × 3,690.46
  4. Step 4: Simplify right side
    6,153.87x = 34,074,386.23
  5. Step 5: Solve for x
    x = 34,074,386.23/6,153.87
  6. Step 6: Final answer
    x = 5,537.07

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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.