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Finding the Fourth Proportional to 6,710.68, 10,066.12 and 2,030.74

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Solution

The fourth proportional to 6,710.68, 10,066.12 and 2,030.74 is: 3,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.68 : 10,066.12 = 2,030.74 : x
  2. Step 2: Convert to fraction form
    6,710.68/10,066.12 = 2,030.74/x
  3. Step 3: Cross multiply
    6,710.68x = 10,066.12 × 2,030.74
  4. Step 4: Simplify right side
    6,710.68x = 20,441,653.71
  5. Step 5: Solve for x
    x = 20,441,653.71/6,710.68
  6. Step 6: Final answer
    x = 3,046.14

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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.