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Finding the Fourth Proportional to 6,114.06, 9,169.65 and 2,825.10

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Solution

The fourth proportional to 6,114.06, 9,169.65 and 2,825.10 is: 4,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.06 : 9,169.65 = 2,825.10 : x
  2. Step 2: Convert to fraction form
    6,114.06/9,169.65 = 2,825.10/x
  3. Step 3: Cross multiply
    6,114.06x = 9,169.65 × 2,825.10
  4. Step 4: Simplify right side
    6,114.06x = 25,905,178.22
  5. Step 5: Solve for x
    x = 25,905,178.22/6,114.06
  6. Step 6: Final answer
    x = 4,236.98

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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.