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Finding the Fourth Proportional to 13,222.53, 18,246.17 and 7,254.06

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Solution

The fourth proportional to 13,222.53, 18,246.17 and 7,254.06 is: 10,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.53 : 18,246.17 = 7,254.06 : x
  2. Step 2: Convert to fraction form
    13,222.53/18,246.17 = 7,254.06/x
  3. Step 3: Cross multiply
    13,222.53x = 18,246.17 × 7,254.06
  4. Step 4: Simplify right side
    13,222.53x = 132,358,775.68
  5. Step 5: Solve for x
    x = 132,358,775.68/13,222.53
  6. Step 6: Final answer
    x = 10,010.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.