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Finding the Fourth Proportional to 30,604.28, 45,902.10 and 9,825.08

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Solution

The fourth proportional to 30,604.28, 45,902.10 and 9,825.08 is: 14,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,604.28 : 45,902.10 = 9,825.08 : x
  2. Step 2: Convert to fraction form
    30,604.28/45,902.10 = 9,825.08/x
  3. Step 3: Cross multiply
    30,604.28x = 45,902.10 × 9,825.08
  4. Step 4: Simplify right side
    30,604.28x = 450,991,804.67
  5. Step 5: Solve for x
    x = 450,991,804.67/30,604.28
  6. Step 6: Final answer
    x = 14,736.23

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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.