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Finding the Fourth Proportional to 9,963.12, 13,746.06 and 5,770.56

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Solution

The fourth proportional to 9,963.12, 13,746.06 and 5,770.56 is: 7,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.12 : 13,746.06 = 5,770.56 : x
  2. Step 2: Convert to fraction form
    9,963.12/13,746.06 = 5,770.56/x
  3. Step 3: Cross multiply
    9,963.12x = 13,746.06 × 5,770.56
  4. Step 4: Simplify right side
    9,963.12x = 79,322,463.99
  5. Step 5: Solve for x
    x = 79,322,463.99/9,963.12
  6. Step 6: Final answer
    x = 7,961.61

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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.