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Finding the Fourth Proportional to 12,398.46, 18,598.86 and 4,078.50

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Solution

The fourth proportional to 12,398.46, 18,598.86 and 4,078.50 is: 6,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.46 : 18,598.86 = 4,078.50 : x
  2. Step 2: Convert to fraction form
    12,398.46/18,598.86 = 4,078.50/x
  3. Step 3: Cross multiply
    12,398.46x = 18,598.86 × 4,078.50
  4. Step 4: Simplify right side
    12,398.46x = 75,855,450.51
  5. Step 5: Solve for x
    x = 75,855,450.51/12,398.46
  6. Step 6: Final answer
    x = 6,118.13

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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.