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Finding the Fourth Proportional to 9,874.85, 13,625.76 and 5,625.37

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Solution

The fourth proportional to 9,874.85, 13,625.76 and 5,625.37 is: 7,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.85 : 13,625.76 = 5,625.37 : x
  2. Step 2: Convert to fraction form
    9,874.85/13,625.76 = 5,625.37/x
  3. Step 3: Cross multiply
    9,874.85x = 13,625.76 × 5,625.37
  4. Step 4: Simplify right side
    9,874.85x = 76,649,907.47
  5. Step 5: Solve for x
    x = 76,649,907.47/9,874.85
  6. Step 6: Final answer
    x = 7,762.14

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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.