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Finding the Fourth Proportional to 9,019.62, 13,534.29 and 6,827.82

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Solution

The fourth proportional to 9,019.62, 13,534.29 and 6,827.82 is: 10,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.62 : 13,534.29 = 6,827.82 : x
  2. Step 2: Convert to fraction form
    9,019.62/13,534.29 = 6,827.82/x
  3. Step 3: Cross multiply
    9,019.62x = 13,534.29 × 6,827.82
  4. Step 4: Simplify right side
    9,019.62x = 92,409,695.95
  5. Step 5: Solve for x
    x = 92,409,695.95/9,019.62
  6. Step 6: Final answer
    x = 10,245.41

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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.