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Finding the Fourth Proportional to 11,376.53, 15,697.82 and 6,339.14

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Solution

The fourth proportional to 11,376.53, 15,697.82 and 6,339.14 is: 8,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.53 : 15,697.82 = 6,339.14 : x
  2. Step 2: Convert to fraction form
    11,376.53/15,697.82 = 6,339.14/x
  3. Step 3: Cross multiply
    11,376.53x = 15,697.82 × 6,339.14
  4. Step 4: Simplify right side
    11,376.53x = 99,510,616.03
  5. Step 5: Solve for x
    x = 99,510,616.03/11,376.53
  6. Step 6: Final answer
    x = 8,747.01

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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.