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Finding the Fourth Proportional to 8,507.06, 11,744.06 and 5,322.24

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Solution

The fourth proportional to 8,507.06, 11,744.06 and 5,322.24 is: 7,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.06 : 11,744.06 = 5,322.24 : x
  2. Step 2: Convert to fraction form
    8,507.06/11,744.06 = 5,322.24/x
  3. Step 3: Cross multiply
    8,507.06x = 11,744.06 × 5,322.24
  4. Step 4: Simplify right side
    8,507.06x = 62,504,679.28
  5. Step 5: Solve for x
    x = 62,504,679.28/8,507.06
  6. Step 6: Final answer
    x = 7,347.39

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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.