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Finding the Fourth Proportional to 12,998.78, 19,497.90 and 5,205.50

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Solution

The fourth proportional to 12,998.78, 19,497.90 and 5,205.50 is: 7,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.78 : 19,497.90 = 5,205.50 : x
  2. Step 2: Convert to fraction form
    12,998.78/19,497.90 = 5,205.50/x
  3. Step 3: Cross multiply
    12,998.78x = 19,497.90 × 5,205.50
  4. Step 4: Simplify right side
    12,998.78x = 101,496,318.45
  5. Step 5: Solve for x
    x = 101,496,318.45/12,998.78
  6. Step 6: Final answer
    x = 7,808.14

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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.