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Finding the Fourth Proportional to 6,710.14, 10,065.21 and 2,093.50

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Solution

The fourth proportional to 6,710.14, 10,065.21 and 2,093.50 is: 3,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.14 : 10,065.21 = 2,093.50 : x
  2. Step 2: Convert to fraction form
    6,710.14/10,065.21 = 2,093.50/x
  3. Step 3: Cross multiply
    6,710.14x = 10,065.21 × 2,093.50
  4. Step 4: Simplify right side
    6,710.14x = 21,071,517.14
  5. Step 5: Solve for x
    x = 21,071,517.14/6,710.14
  6. Step 6: Final answer
    x = 3,140.25

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1.5x scale

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.