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Finding the Fourth Proportional to 12,898.14, 19,347.20 and 3,664.14

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Solution

The fourth proportional to 12,898.14, 19,347.20 and 3,664.14 is: 5,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.14 : 19,347.20 = 3,664.14 : x
  2. Step 2: Convert to fraction form
    12,898.14/19,347.20 = 3,664.14/x
  3. Step 3: Cross multiply
    12,898.14x = 19,347.20 × 3,664.14
  4. Step 4: Simplify right side
    12,898.14x = 70,890,849.41
  5. Step 5: Solve for x
    x = 70,890,849.41/12,898.14
  6. Step 6: Final answer
    x = 5,496.21

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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.