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Finding the Fourth Proportional to 7,066.56, 10,602 and 3,606.24

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Solution

The fourth proportional to 7,066.56, 10,602 and 3,606.24 is: 5,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.56 : 10,602 = 3,606.24 : x
  2. Step 2: Convert to fraction form
    7,066.56/10,602 = 3,606.24/x
  3. Step 3: Cross multiply
    7,066.56x = 10,602 × 3,606.24
  4. Step 4: Simplify right side
    7,066.56x = 38,233,356.48
  5. Step 5: Solve for x
    x = 38,233,356.48/7,066.56
  6. Step 6: Final answer
    x = 5,410.46

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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.