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Finding the Fourth Proportional to 7,668.87, 10,583.46 and 4,683.84

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Solution

The fourth proportional to 7,668.87, 10,583.46 and 4,683.84 is: 6,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.87 : 10,583.46 = 4,683.84 : x
  2. Step 2: Convert to fraction form
    7,668.87/10,583.46 = 4,683.84/x
  3. Step 3: Cross multiply
    7,668.87x = 10,583.46 × 4,683.84
  4. Step 4: Simplify right side
    7,668.87x = 49,571,233.29
  5. Step 5: Solve for x
    x = 49,571,233.29/7,668.87
  6. Step 6: Final answer
    x = 6,463.96

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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.