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Finding the Fourth Proportional to 4,709.64, 6,500.34 and 2,849.16

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Solution

The fourth proportional to 4,709.64, 6,500.34 and 2,849.16 is: 3,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.64 : 6,500.34 = 2,849.16 : x
  2. Step 2: Convert to fraction form
    4,709.64/6,500.34 = 2,849.16/x
  3. Step 3: Cross multiply
    4,709.64x = 6,500.34 × 2,849.16
  4. Step 4: Simplify right side
    4,709.64x = 18,520,508.71
  5. Step 5: Solve for x
    x = 18,520,508.71/4,709.64
  6. Step 6: Final answer
    x = 3,932.47

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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.