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Finding the Fourth Proportional to 7,533, 10,397.88 and 5,049

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Solution

The fourth proportional to 7,533, 10,397.88 and 5,049 is: 6,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 10,397.88 = 5,049 : x
  2. Step 2: Convert to fraction form
    7,533/10,397.88 = 5,049/x
  3. Step 3: Cross multiply
    7,533x = 10,397.88 × 5,049
  4. Step 4: Simplify right side
    7,533x = 52,498,896.12
  5. Step 5: Solve for x
    x = 52,498,896.12/7,533
  6. Step 6: Final answer
    x = 6,969.19

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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.