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Finding the Fourth Proportional to 6,646.28, 9,970.62 and 2,751

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Solution

The fourth proportional to 6,646.28, 9,970.62 and 2,751 is: 4,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.28 : 9,970.62 = 2,751 : x
  2. Step 2: Convert to fraction form
    6,646.28/9,970.62 = 2,751/x
  3. Step 3: Cross multiply
    6,646.28x = 9,970.62 × 2,751
  4. Step 4: Simplify right side
    6,646.28x = 27,429,175.62
  5. Step 5: Solve for x
    x = 27,429,175.62/6,646.28
  6. Step 6: Final answer
    x = 4,127.00

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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.