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Finding the Fourth Proportional to 6,700.64, 10,052.42 and 2,020.28

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Solution

The fourth proportional to 6,700.64, 10,052.42 and 2,020.28 is: 3,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.64 : 10,052.42 = 2,020.28 : x
  2. Step 2: Convert to fraction form
    6,700.64/10,052.42 = 2,020.28/x
  3. Step 3: Cross multiply
    6,700.64x = 10,052.42 × 2,020.28
  4. Step 4: Simplify right side
    6,700.64x = 20,308,642.71
  5. Step 5: Solve for x
    x = 20,308,642.71/6,700.64
  6. Step 6: Final answer
    x = 3,030.85

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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.