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Finding the Fourth Proportional to 7,193.60, 9,902.22 and 6,202.16

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Solution

The fourth proportional to 7,193.60, 9,902.22 and 6,202.16 is: 8,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.60 : 9,902.22 = 6,202.16 : x
  2. Step 2: Convert to fraction form
    7,193.60/9,902.22 = 6,202.16/x
  3. Step 3: Cross multiply
    7,193.60x = 9,902.22 × 6,202.16
  4. Step 4: Simplify right side
    7,193.60x = 61,415,152.80
  5. Step 5: Solve for x
    x = 61,415,152.80/7,193.60
  6. Step 6: Final answer
    x = 8,537.47

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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.