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Finding the Fourth Proportional to 6,347.28, 9,520.92 and 1,730.32

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Solution

The fourth proportional to 6,347.28, 9,520.92 and 1,730.32 is: 2,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.28 : 9,520.92 = 1,730.32 : x
  2. Step 2: Convert to fraction form
    6,347.28/9,520.92 = 1,730.32/x
  3. Step 3: Cross multiply
    6,347.28x = 9,520.92 × 1,730.32
  4. Step 4: Simplify right side
    6,347.28x = 16,474,238.29
  5. Step 5: Solve for x
    x = 16,474,238.29/6,347.28
  6. Step 6: Final answer
    x = 2,595.48

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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.