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Finding the Fourth Proportional to 13,492.69, 20,221.69 and 6,462.16

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Solution

The fourth proportional to 13,492.69, 20,221.69 and 6,462.16 is: 9,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.69 : 20,221.69 = 6,462.16 : x
  2. Step 2: Convert to fraction form
    13,492.69/20,221.69 = 6,462.16/x
  3. Step 3: Cross multiply
    13,492.69x = 20,221.69 × 6,462.16
  4. Step 4: Simplify right side
    13,492.69x = 130,675,796.25
  5. Step 5: Solve for x
    x = 130,675,796.25/13,492.69
  6. Step 6: Final answer
    x = 9,684.93

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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.