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Finding the Fourth Proportional to 6,340.58, 9,506.82 and 3,047.12

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Solution

The fourth proportional to 6,340.58, 9,506.82 and 3,047.12 is: 4,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.58 : 9,506.82 = 3,047.12 : x
  2. Step 2: Convert to fraction form
    6,340.58/9,506.82 = 3,047.12/x
  3. Step 3: Cross multiply
    6,340.58x = 9,506.82 × 3,047.12
  4. Step 4: Simplify right side
    6,340.58x = 28,968,421.36
  5. Step 5: Solve for x
    x = 28,968,421.36/6,340.58
  6. Step 6: Final answer
    x = 4,568.73

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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.