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Finding the Fourth Proportional to 9,073.13, 12,492.27 and 8,242.65

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Solution

The fourth proportional to 9,073.13, 12,492.27 and 8,242.65 is: 11,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.13 : 12,492.27 = 8,242.65 : x
  2. Step 2: Convert to fraction form
    9,073.13/12,492.27 = 8,242.65/x
  3. Step 3: Cross multiply
    9,073.13x = 12,492.27 × 8,242.65
  4. Step 4: Simplify right side
    9,073.13x = 102,969,409.32
  5. Step 5: Solve for x
    x = 102,969,409.32/9,073.13
  6. Step 6: Final answer
    x = 11,348.84

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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.