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Finding the Fourth Proportional to 30,274.00, 45,405.63 and 9,208.94

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Solution

The fourth proportional to 30,274.00, 45,405.63 and 9,208.94 is: 13,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.00 : 45,405.63 = 9,208.94 : x
  2. Step 2: Convert to fraction form
    30,274.00/45,405.63 = 9,208.94/x
  3. Step 3: Cross multiply
    30,274.00x = 45,405.63 × 9,208.94
  4. Step 4: Simplify right side
    30,274.00x = 418,137,495.30
  5. Step 5: Solve for x
    x = 418,137,495.30/30,274.00
  6. Step 6: Final answer
    x = 13,811.77

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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.