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Finding the Fourth Proportional to 9,294.84, 12,748.23 and 8,245.08

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Solution

The fourth proportional to 9,294.84, 12,748.23 and 8,245.08 is: 11,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.84 : 12,748.23 = 8,245.08 : x
  2. Step 2: Convert to fraction form
    9,294.84/12,748.23 = 8,245.08/x
  3. Step 3: Cross multiply
    9,294.84x = 12,748.23 × 8,245.08
  4. Step 4: Simplify right side
    9,294.84x = 105,110,176.21
  5. Step 5: Solve for x
    x = 105,110,176.21/9,294.84
  6. Step 6: Final answer
    x = 11,308.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.