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Finding the Fourth Proportional to 13,682.70, 19,214.10 and 13,682.70

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Solution

The fourth proportional to 13,682.70, 19,214.10 and 13,682.70 is: 19,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.70 : 19,214.10 = 13,682.70 : x
  2. Step 2: Convert to fraction form
    13,682.70/19,214.10 = 13,682.70/x
  3. Step 3: Cross multiply
    13,682.70x = 19,214.10 × 13,682.70
  4. Step 4: Simplify right side
    13,682.70x = 262,900,766.07
  5. Step 5: Solve for x
    x = 262,900,766.07/13,682.70
  6. Step 6: Final answer
    x = 19,214.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.