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Finding the Fourth Proportional to 6,143.46, 8,467.65 and 4,964.10

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Solution

The fourth proportional to 6,143.46, 8,467.65 and 4,964.10 is: 6,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.46 : 8,467.65 = 4,964.10 : x
  2. Step 2: Convert to fraction form
    6,143.46/8,467.65 = 4,964.10/x
  3. Step 3: Cross multiply
    6,143.46x = 8,467.65 × 4,964.10
  4. Step 4: Simplify right side
    6,143.46x = 42,034,261.37
  5. Step 5: Solve for x
    x = 42,034,261.37/6,143.46
  6. Step 6: Final answer
    x = 6,842.12

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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.