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Finding the Fourth Proportional to 9,843.40, 14,765.10 and 5,696.20

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Solution

The fourth proportional to 9,843.40, 14,765.10 and 5,696.20 is: 8,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.40 : 14,765.10 = 5,696.20 : x
  2. Step 2: Convert to fraction form
    9,843.40/14,765.10 = 5,696.20/x
  3. Step 3: Cross multiply
    9,843.40x = 14,765.10 × 5,696.20
  4. Step 4: Simplify right side
    9,843.40x = 84,104,962.62
  5. Step 5: Solve for x
    x = 84,104,962.62/9,843.40
  6. Step 6: Final answer
    x = 8,544.30

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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.