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Finding the Fourth Proportional to 9,092.34, 13,638.10 and 2,852.22

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Solution

The fourth proportional to 9,092.34, 13,638.10 and 2,852.22 is: 4,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.34 : 13,638.10 = 2,852.22 : x
  2. Step 2: Convert to fraction form
    9,092.34/13,638.10 = 2,852.22/x
  3. Step 3: Cross multiply
    9,092.34x = 13,638.10 × 2,852.22
  4. Step 4: Simplify right side
    9,092.34x = 38,898,861.58
  5. Step 5: Solve for x
    x = 38,898,861.58/9,092.34
  6. Step 6: Final answer
    x = 4,278.20

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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.