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Finding the Fourth Proportional to 6,267.74, 8,655.93 and 5,424.39

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Solution

The fourth proportional to 6,267.74, 8,655.93 and 5,424.39 is: 7,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.74 : 8,655.93 = 5,424.39 : x
  2. Step 2: Convert to fraction form
    6,267.74/8,655.93 = 5,424.39/x
  3. Step 3: Cross multiply
    6,267.74x = 8,655.93 × 5,424.39
  4. Step 4: Simplify right side
    6,267.74x = 46,953,140.13
  5. Step 5: Solve for x
    x = 46,953,140.13/6,267.74
  6. Step 6: Final answer
    x = 7,491.25

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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.