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Finding the Fourth Proportional to 30,542.64, 45,814.49 and 9,766.14

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Solution

The fourth proportional to 30,542.64, 45,814.49 and 9,766.14 is: 14,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.64 : 45,814.49 = 9,766.14 : x
  2. Step 2: Convert to fraction form
    30,542.64/45,814.49 = 9,766.14/x
  3. Step 3: Cross multiply
    30,542.64x = 45,814.49 × 9,766.14
  4. Step 4: Simplify right side
    30,542.64x = 447,430,723.37
  5. Step 5: Solve for x
    x = 447,430,723.37/30,542.64
  6. Step 6: Final answer
    x = 14,649.38

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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.