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Finding the Fourth Proportional to 8,583.40, 11,877.36 and 7,322.44

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Solution

The fourth proportional to 8,583.40, 11,877.36 and 7,322.44 is: 10,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.40 : 11,877.36 = 7,322.44 : x
  2. Step 2: Convert to fraction form
    8,583.40/11,877.36 = 7,322.44/x
  3. Step 3: Cross multiply
    8,583.40x = 11,877.36 × 7,322.44
  4. Step 4: Simplify right side
    8,583.40x = 86,971,255.96
  5. Step 5: Solve for x
    x = 86,971,255.96/8,583.40
  6. Step 6: Final answer
    x = 10,132.49

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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.