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Finding the Fourth Proportional to 13,205.16, 18,224.87 and 7,538.63

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Solution

The fourth proportional to 13,205.16, 18,224.87 and 7,538.63 is: 10,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.16 : 18,224.87 = 7,538.63 : x
  2. Step 2: Convert to fraction form
    13,205.16/18,224.87 = 7,538.63/x
  3. Step 3: Cross multiply
    13,205.16x = 18,224.87 × 7,538.63
  4. Step 4: Simplify right side
    13,205.16x = 137,390,422.91
  5. Step 5: Solve for x
    x = 137,390,422.91/13,205.16
  6. Step 6: Final answer
    x = 10,404.30

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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.