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Finding the Fourth Proportional to 6,153.54, 9,230.28 and 1,536.54

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Solution

The fourth proportional to 6,153.54, 9,230.28 and 1,536.54 is: 2,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.54 : 9,230.28 = 1,536.54 : x
  2. Step 2: Convert to fraction form
    6,153.54/9,230.28 = 1,536.54/x
  3. Step 3: Cross multiply
    6,153.54x = 9,230.28 × 1,536.54
  4. Step 4: Simplify right side
    6,153.54x = 14,182,694.43
  5. Step 5: Solve for x
    x = 14,182,694.43/6,153.54
  6. Step 6: Final answer
    x = 2,304.80

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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.