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Finding the Fourth Proportional to 6,297.32, 8,730.71 and 5,947.40

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Solution

The fourth proportional to 6,297.32, 8,730.71 and 5,947.40 is: 8,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.32 : 8,730.71 = 5,947.40 : x
  2. Step 2: Convert to fraction form
    6,297.32/8,730.71 = 5,947.40/x
  3. Step 3: Cross multiply
    6,297.32x = 8,730.71 × 5,947.40
  4. Step 4: Simplify right side
    6,297.32x = 51,925,024.65
  5. Step 5: Solve for x
    x = 51,925,024.65/6,297.32
  6. Step 6: Final answer
    x = 8,245.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.