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Finding the Fourth Proportional to 7,203.76, 9,935.42 and 4,965.12

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Solution

The fourth proportional to 7,203.76, 9,935.42 and 4,965.12 is: 6,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.76 : 9,935.42 = 4,965.12 : x
  2. Step 2: Convert to fraction form
    7,203.76/9,935.42 = 4,965.12/x
  3. Step 3: Cross multiply
    7,203.76x = 9,935.42 × 4,965.12
  4. Step 4: Simplify right side
    7,203.76x = 49,330,564.96
  5. Step 5: Solve for x
    x = 49,330,564.96/7,203.76
  6. Step 6: Final answer
    x = 6,847.89

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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.