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Finding the Fourth Proportional to 9,204.72, 13,804.20 and 8,674.80

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Solution

The fourth proportional to 9,204.72, 13,804.20 and 8,674.80 is: 13,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.72 : 13,804.20 = 8,674.80 : x
  2. Step 2: Convert to fraction form
    9,204.72/13,804.20 = 8,674.80/x
  3. Step 3: Cross multiply
    9,204.72x = 13,804.20 × 8,674.80
  4. Step 4: Simplify right side
    9,204.72x = 119,748,674.16
  5. Step 5: Solve for x
    x = 119,748,674.16/9,204.72
  6. Step 6: Final answer
    x = 13,009.49

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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.