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Finding the Fourth Proportional to 7,309.88, 10,085.01 and 4,164.25

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Solution

The fourth proportional to 7,309.88, 10,085.01 and 4,164.25 is: 5,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.88 : 10,085.01 = 4,164.25 : x
  2. Step 2: Convert to fraction form
    7,309.88/10,085.01 = 4,164.25/x
  3. Step 3: Cross multiply
    7,309.88x = 10,085.01 × 4,164.25
  4. Step 4: Simplify right side
    7,309.88x = 41,996,452.47
  5. Step 5: Solve for x
    x = 41,996,452.47/7,309.88
  6. Step 6: Final answer
    x = 5,745.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.