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Finding the Fourth Proportional to 6,463.59, 9,680.93 and 5,619.84

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Solution

The fourth proportional to 6,463.59, 9,680.93 and 5,619.84 is: 8,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.59 : 9,680.93 = 5,619.84 : x
  2. Step 2: Convert to fraction form
    6,463.59/9,680.93 = 5,619.84/x
  3. Step 3: Cross multiply
    6,463.59x = 9,680.93 × 5,619.84
  4. Step 4: Simplify right side
    6,463.59x = 54,405,277.65
  5. Step 5: Solve for x
    x = 54,405,277.65/6,463.59
  6. Step 6: Final answer
    x = 8,417.19

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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.