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Finding the Fourth Proportional to 6,153.75, 9,230.76 and 1,536.75

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Solution

The fourth proportional to 6,153.75, 9,230.76 and 1,536.75 is: 2,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.75 : 9,230.76 = 1,536.75 : x
  2. Step 2: Convert to fraction form
    6,153.75/9,230.76 = 1,536.75/x
  3. Step 3: Cross multiply
    6,153.75x = 9,230.76 × 1,536.75
  4. Step 4: Simplify right side
    6,153.75x = 14,185,370.43
  5. Step 5: Solve for x
    x = 14,185,370.43/6,153.75
  6. Step 6: Final answer
    x = 2,305.16

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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.