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Finding the Fourth Proportional to 6,314.56, 9,460.62 and 3,848.20

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Solution

The fourth proportional to 6,314.56, 9,460.62 and 3,848.20 is: 5,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.56 : 9,460.62 = 3,848.20 : x
  2. Step 2: Convert to fraction form
    6,314.56/9,460.62 = 3,848.20/x
  3. Step 3: Cross multiply
    6,314.56x = 9,460.62 × 3,848.20
  4. Step 4: Simplify right side
    6,314.56x = 36,406,357.88
  5. Step 5: Solve for x
    x = 36,406,357.88/6,314.56
  6. Step 6: Final answer
    x = 5,765.46

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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.