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Finding the Fourth Proportional to 7,066, 10,598.64 and 2,135.62

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Solution

The fourth proportional to 7,066, 10,598.64 and 2,135.62 is: 3,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066 : 10,598.64 = 2,135.62 : x
  2. Step 2: Convert to fraction form
    7,066/10,598.64 = 2,135.62/x
  3. Step 3: Cross multiply
    7,066x = 10,598.64 × 2,135.62
  4. Step 4: Simplify right side
    7,066x = 22,634,667.56
  5. Step 5: Solve for x
    x = 22,634,667.56/7,066
  6. Step 6: Final answer
    x = 3,203.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.