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Finding the Fourth Proportional to 8,424, 12,635.95 and 2,184.00

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Solution

The fourth proportional to 8,424, 12,635.95 and 2,184.00 is: 3,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 12,635.95 = 2,184.00 : x
  2. Step 2: Convert to fraction form
    8,424/12,635.95 = 2,184.00/x
  3. Step 3: Cross multiply
    8,424x = 12,635.95 × 2,184.00
  4. Step 4: Simplify right side
    8,424x = 27,596,866.05
  5. Step 5: Solve for x
    x = 27,596,866.05/8,424
  6. Step 6: Final answer
    x = 3,275.98

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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.