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Finding the Fourth Proportional to 6,473.04, 9,709.56 and 2,577.48

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Solution

The fourth proportional to 6,473.04, 9,709.56 and 2,577.48 is: 3,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.04 : 9,709.56 = 2,577.48 : x
  2. Step 2: Convert to fraction form
    6,473.04/9,709.56 = 2,577.48/x
  3. Step 3: Cross multiply
    6,473.04x = 9,709.56 × 2,577.48
  4. Step 4: Simplify right side
    6,473.04x = 25,026,196.71
  5. Step 5: Solve for x
    x = 25,026,196.71/6,473.04
  6. Step 6: Final answer
    x = 3,866.22

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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.