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Finding the Fourth Proportional to 6,314.45, 8,709.44 and 5,363.65

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Solution

The fourth proportional to 6,314.45, 8,709.44 and 5,363.65 is: 7,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.45 : 8,709.44 = 5,363.65 : x
  2. Step 2: Convert to fraction form
    6,314.45/8,709.44 = 5,363.65/x
  3. Step 3: Cross multiply
    6,314.45x = 8,709.44 × 5,363.65
  4. Step 4: Simplify right side
    6,314.45x = 46,714,376.97
  5. Step 5: Solve for x
    x = 46,714,376.97/6,314.45
  6. Step 6: Final answer
    x = 7,398.01

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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.