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Finding the Fourth Proportional to 9,800.04, 14,696.91 and 3,224.70

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Solution

The fourth proportional to 9,800.04, 14,696.91 and 3,224.70 is: 4,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.04 : 14,696.91 = 3,224.70 : x
  2. Step 2: Convert to fraction form
    9,800.04/14,696.91 = 3,224.70/x
  3. Step 3: Cross multiply
    9,800.04x = 14,696.91 × 3,224.70
  4. Step 4: Simplify right side
    9,800.04x = 47,393,125.68
  5. Step 5: Solve for x
    x = 47,393,125.68/9,800.04
  6. Step 6: Final answer
    x = 4,836.01

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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.