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Finding the Fourth Proportional to 13,214.20, 19,822.02 and 9,506.20

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Solution

The fourth proportional to 13,214.20, 19,822.02 and 9,506.20 is: 14,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.20 : 19,822.02 = 9,506.20 : x
  2. Step 2: Convert to fraction form
    13,214.20/19,822.02 = 9,506.20/x
  3. Step 3: Cross multiply
    13,214.20x = 19,822.02 × 9,506.20
  4. Step 4: Simplify right side
    13,214.20x = 188,432,086.52
  5. Step 5: Solve for x
    x = 188,432,086.52/13,214.20
  6. Step 6: Final answer
    x = 14,259.82

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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.