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Finding the Fourth Proportional to 6,323.53, 9,497.59 and 5,154.39

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Solution

The fourth proportional to 6,323.53, 9,497.59 and 5,154.39 is: 7,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.53 : 9,497.59 = 5,154.39 : x
  2. Step 2: Convert to fraction form
    6,323.53/9,497.59 = 5,154.39/x
  3. Step 3: Cross multiply
    6,323.53x = 9,497.59 × 5,154.39
  4. Step 4: Simplify right side
    6,323.53x = 48,954,282.92
  5. Step 5: Solve for x
    x = 48,954,282.92/6,323.53
  6. Step 6: Final answer
    x = 7,741.61

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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.