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Finding the Fourth Proportional to 8,424.84, 12,637.20 and 6,577.50

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Solution

The fourth proportional to 8,424.84, 12,637.20 and 6,577.50 is: 9,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.84 : 12,637.20 = 6,577.50 : x
  2. Step 2: Convert to fraction form
    8,424.84/12,637.20 = 6,577.50/x
  3. Step 3: Cross multiply
    8,424.84x = 12,637.20 × 6,577.50
  4. Step 4: Simplify right side
    8,424.84x = 83,121,183
  5. Step 5: Solve for x
    x = 83,121,183/8,424.84
  6. Step 6: Final answer
    x = 9,866.20

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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.