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Finding the Fourth Proportional to 7,012.58, 9,677.32 and 3,825.81

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Solution

The fourth proportional to 7,012.58, 9,677.32 and 3,825.81 is: 5,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.58 : 9,677.32 = 3,825.81 : x
  2. Step 2: Convert to fraction form
    7,012.58/9,677.32 = 3,825.81/x
  3. Step 3: Cross multiply
    7,012.58x = 9,677.32 × 3,825.81
  4. Step 4: Simplify right side
    7,012.58x = 37,023,578.06
  5. Step 5: Solve for x
    x = 37,023,578.06/7,012.58
  6. Step 6: Final answer
    x = 5,279.60

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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.