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Finding the Fourth Proportional to 6,275.77, 9,412.11 and 2,114.68

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Solution

The fourth proportional to 6,275.77, 9,412.11 and 2,114.68 is: 3,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.77 : 9,412.11 = 2,114.68 : x
  2. Step 2: Convert to fraction form
    6,275.77/9,412.11 = 2,114.68/x
  3. Step 3: Cross multiply
    6,275.77x = 9,412.11 × 2,114.68
  4. Step 4: Simplify right side
    6,275.77x = 19,903,600.77
  5. Step 5: Solve for x
    x = 19,903,600.77/6,275.77
  6. Step 6: Final answer
    x = 3,171.50

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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.