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Finding the Fourth Proportional to 9,574.14, 13,209.03 and 6,221.16

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Solution

The fourth proportional to 9,574.14, 13,209.03 and 6,221.16 is: 8,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.14 : 13,209.03 = 6,221.16 : x
  2. Step 2: Convert to fraction form
    9,574.14/13,209.03 = 6,221.16/x
  3. Step 3: Cross multiply
    9,574.14x = 13,209.03 × 6,221.16
  4. Step 4: Simplify right side
    9,574.14x = 82,175,489.07
  5. Step 5: Solve for x
    x = 82,175,489.07/9,574.14
  6. Step 6: Final answer
    x = 8,583.07

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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.