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Finding the Fourth Proportional to 9,808.56, 14,722.09 and 3,574.60

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Solution

The fourth proportional to 9,808.56, 14,722.09 and 3,574.60 is: 5,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.56 : 14,722.09 = 3,574.60 : x
  2. Step 2: Convert to fraction form
    9,808.56/14,722.09 = 3,574.60/x
  3. Step 3: Cross multiply
    9,808.56x = 14,722.09 × 3,574.60
  4. Step 4: Simplify right side
    9,808.56x = 52,625,537.17
  5. Step 5: Solve for x
    x = 52,625,537.17/9,808.56
  6. Step 6: Final answer
    x = 5,365.27

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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.