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Finding the Fourth Proportional to 9,809.44, 13,537.13 and 5,333.24

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Solution

The fourth proportional to 9,809.44, 13,537.13 and 5,333.24 is: 7,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.44 : 13,537.13 = 5,333.24 : x
  2. Step 2: Convert to fraction form
    9,809.44/13,537.13 = 5,333.24/x
  3. Step 3: Cross multiply
    9,809.44x = 13,537.13 × 5,333.24
  4. Step 4: Simplify right side
    9,809.44x = 72,196,770.38
  5. Step 5: Solve for x
    x = 72,196,770.38/9,809.44
  6. Step 6: Final answer
    x = 7,359.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.