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Finding the Fourth Proportional to 7,102.02, 9,800.52 and 3,958.14

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Solution

The fourth proportional to 7,102.02, 9,800.52 and 3,958.14 is: 5,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.02 : 9,800.52 = 3,958.14 : x
  2. Step 2: Convert to fraction form
    7,102.02/9,800.52 = 3,958.14/x
  3. Step 3: Cross multiply
    7,102.02x = 9,800.52 × 3,958.14
  4. Step 4: Simplify right side
    7,102.02x = 38,791,830.23
  5. Step 5: Solve for x
    x = 38,791,830.23/7,102.02
  6. Step 6: Final answer
    x = 5,462.08

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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.