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Finding the Fourth Proportional to 9,005.22, 13,492.34 and 8,092.16

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Solution

The fourth proportional to 9,005.22, 13,492.34 and 8,092.16 is: 12,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.22 : 13,492.34 = 8,092.16 : x
  2. Step 2: Convert to fraction form
    9,005.22/13,492.34 = 8,092.16/x
  3. Step 3: Cross multiply
    9,005.22x = 13,492.34 × 8,092.16
  4. Step 4: Simplify right side
    9,005.22x = 109,182,174.05
  5. Step 5: Solve for x
    x = 109,182,174.05/9,005.22
  6. Step 6: Final answer
    x = 12,124.32

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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.