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Finding the Fourth Proportional to 30,616.28, 45,922.80 and 9,838.16

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Solution

The fourth proportional to 30,616.28, 45,922.80 and 9,838.16 is: 14,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.28 : 45,922.80 = 9,838.16 : x
  2. Step 2: Convert to fraction form
    30,616.28/45,922.80 = 9,838.16/x
  3. Step 3: Cross multiply
    30,616.28x = 45,922.80 × 9,838.16
  4. Step 4: Simplify right side
    30,616.28x = 451,795,854.05
  5. Step 5: Solve for x
    x = 451,795,854.05/30,616.28
  6. Step 6: Final answer
    x = 14,756.72

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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.