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Finding the Fourth Proportional to 33,275.64, 49,921.98 and 9,902.10

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Solution

The fourth proportional to 33,275.64, 49,921.98 and 9,902.10 is: 14,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,275.64 : 49,921.98 = 9,902.10 : x
  2. Step 2: Convert to fraction form
    33,275.64/49,921.98 = 9,902.10/x
  3. Step 3: Cross multiply
    33,275.64x = 49,921.98 × 9,902.10
  4. Step 4: Simplify right side
    33,275.64x = 494,332,438.16
  5. Step 5: Solve for x
    x = 494,332,438.16/33,275.64
  6. Step 6: Final answer
    x = 14,855.69

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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.