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Finding the Fourth Proportional to 30,628.49, 45,933.01 and 9,847.13

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Solution

The fourth proportional to 30,628.49, 45,933.01 and 9,847.13 is: 14,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.49 : 45,933.01 = 9,847.13 : x
  2. Step 2: Convert to fraction form
    30,628.49/45,933.01 = 9,847.13/x
  3. Step 3: Cross multiply
    30,628.49x = 45,933.01 × 9,847.13
  4. Step 4: Simplify right side
    30,628.49x = 452,308,066.48
  5. Step 5: Solve for x
    x = 452,308,066.48/30,628.49
  6. Step 6: Final answer
    x = 14,767.56

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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.