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Finding the Fourth Proportional to 10,184.83, 15,254.67 and 7,827.48

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Solution

The fourth proportional to 10,184.83, 15,254.67 and 7,827.48 is: 11,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.83 : 15,254.67 = 7,827.48 : x
  2. Step 2: Convert to fraction form
    10,184.83/15,254.67 = 7,827.48/x
  3. Step 3: Cross multiply
    10,184.83x = 15,254.67 × 7,827.48
  4. Step 4: Simplify right side
    10,184.83x = 119,405,624.33
  5. Step 5: Solve for x
    x = 119,405,624.33/10,184.83
  6. Step 6: Final answer
    x = 11,723.87

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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.