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Finding the Fourth Proportional to 9,798.42, 14,699.46 and 3,229.23

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Solution

The fourth proportional to 9,798.42, 14,699.46 and 3,229.23 is: 4,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.42 : 14,699.46 = 3,229.23 : x
  2. Step 2: Convert to fraction form
    9,798.42/14,699.46 = 3,229.23/x
  3. Step 3: Cross multiply
    9,798.42x = 14,699.46 × 3,229.23
  4. Step 4: Simplify right side
    9,798.42x = 47,467,937.22
  5. Step 5: Solve for x
    x = 47,467,937.22/9,798.42
  6. Step 6: Final answer
    x = 4,844.45

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Double scale
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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.