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Finding the Fourth Proportional to 9,147.53, 13,727.07 and 4,768.07

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Solution

The fourth proportional to 9,147.53, 13,727.07 and 4,768.07 is: 7,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.53 : 13,727.07 = 4,768.07 : x
  2. Step 2: Convert to fraction form
    9,147.53/13,727.07 = 4,768.07/x
  3. Step 3: Cross multiply
    9,147.53x = 13,727.07 × 4,768.07
  4. Step 4: Simplify right side
    9,147.53x = 65,451,562.02
  5. Step 5: Solve for x
    x = 65,451,562.02/9,147.53
  6. Step 6: Final answer
    x = 7,155.11

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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.