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Finding the Fourth Proportional to 9,493, 13,100.28 and 5,516.44

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Solution

The fourth proportional to 9,493, 13,100.28 and 5,516.44 is: 7,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 13,100.28 = 5,516.44 : x
  2. Step 2: Convert to fraction form
    9,493/13,100.28 = 5,516.44/x
  3. Step 3: Cross multiply
    9,493x = 13,100.28 × 5,516.44
  4. Step 4: Simplify right side
    9,493x = 72,266,908.60
  5. Step 5: Solve for x
    x = 72,266,908.60/9,493
  6. Step 6: Final answer
    x = 7,612.65

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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.