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Finding the Fourth Proportional to 7,012.16, 9,676.64 and 3,868.34

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Solution

The fourth proportional to 7,012.16, 9,676.64 and 3,868.34 is: 5,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.16 : 9,676.64 = 3,868.34 : x
  2. Step 2: Convert to fraction form
    7,012.16/9,676.64 = 3,868.34/x
  3. Step 3: Cross multiply
    7,012.16x = 9,676.64 × 3,868.34
  4. Step 4: Simplify right side
    7,012.16x = 37,432,533.58
  5. Step 5: Solve for x
    x = 37,432,533.58/7,012.16
  6. Step 6: Final answer
    x = 5,338.23

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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.