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Finding the Fourth Proportional to 6,691.82, 10,037.79 and 1,762.16

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Solution

The fourth proportional to 6,691.82, 10,037.79 and 1,762.16 is: 2,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.82 : 10,037.79 = 1,762.16 : x
  2. Step 2: Convert to fraction form
    6,691.82/10,037.79 = 1,762.16/x
  3. Step 3: Cross multiply
    6,691.82x = 10,037.79 × 1,762.16
  4. Step 4: Simplify right side
    6,691.82x = 17,688,141.84
  5. Step 5: Solve for x
    x = 17,688,141.84/6,691.82
  6. Step 6: Final answer
    x = 2,643.25

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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.