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Finding the Fourth Proportional to 12,297.84, 18,442.20 and 4,398.22

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Solution

The fourth proportional to 12,297.84, 18,442.20 and 4,398.22 is: 6,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.84 : 18,442.20 = 4,398.22 : x
  2. Step 2: Convert to fraction form
    12,297.84/18,442.20 = 4,398.22/x
  3. Step 3: Cross multiply
    12,297.84x = 18,442.20 × 4,398.22
  4. Step 4: Simplify right side
    12,297.84x = 81,112,852.88
  5. Step 5: Solve for x
    x = 81,112,852.88/12,297.84
  6. Step 6: Final answer
    x = 6,595.70

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1.5x scale

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.