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Finding the Fourth Proportional to 7,012.32, 9,676.86 and 3,825.63

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Solution

The fourth proportional to 7,012.32, 9,676.86 and 3,825.63 is: 5,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.32 : 9,676.86 = 3,825.63 : x
  2. Step 2: Convert to fraction form
    7,012.32/9,676.86 = 3,825.63/x
  3. Step 3: Cross multiply
    7,012.32x = 9,676.86 × 3,825.63
  4. Step 4: Simplify right side
    7,012.32x = 37,020,110.11
  5. Step 5: Solve for x
    x = 37,020,110.11/7,012.32
  6. Step 6: Final answer
    x = 5,279.30

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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.