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Finding the Fourth Proportional to 6,765.63, 10,148.82 and 3,068.14

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Solution

The fourth proportional to 6,765.63, 10,148.82 and 3,068.14 is: 4,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.63 : 10,148.82 = 3,068.14 : x
  2. Step 2: Convert to fraction form
    6,765.63/10,148.82 = 3,068.14/x
  3. Step 3: Cross multiply
    6,765.63x = 10,148.82 × 3,068.14
  4. Step 4: Simplify right side
    6,765.63x = 31,138,005.65
  5. Step 5: Solve for x
    x = 31,138,005.65/6,765.63
  6. Step 6: Final answer
    x = 4,602.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.