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Finding the Fourth Proportional to 30,534.69, 45,799.83 and 9,474.17

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Solution

The fourth proportional to 30,534.69, 45,799.83 and 9,474.17 is: 14,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.69 : 45,799.83 = 9,474.17 : x
  2. Step 2: Convert to fraction form
    30,534.69/45,799.83 = 9,474.17/x
  3. Step 3: Cross multiply
    30,534.69x = 45,799.83 × 9,474.17
  4. Step 4: Simplify right side
    30,534.69x = 433,915,489.89
  5. Step 5: Solve for x
    x = 433,915,489.89/30,534.69
  6. Step 6: Final answer
    x = 14,210.57

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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.