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Finding the Fourth Proportional to 7,185.17, 9,914.05 and 4,200.43

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Solution

The fourth proportional to 7,185.17, 9,914.05 and 4,200.43 is: 5,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.17 : 9,914.05 = 4,200.43 : x
  2. Step 2: Convert to fraction form
    7,185.17/9,914.05 = 4,200.43/x
  3. Step 3: Cross multiply
    7,185.17x = 9,914.05 × 4,200.43
  4. Step 4: Simplify right side
    7,185.17x = 41,643,202.47
  5. Step 5: Solve for x
    x = 41,643,202.47/7,185.17
  6. Step 6: Final answer
    x = 5,795.72

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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.