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Finding the Fourth Proportional to 7,668, 10,583.76 and 4,357.92

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Solution

The fourth proportional to 7,668, 10,583.76 and 4,357.92 is: 6,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668 : 10,583.76 = 4,357.92 : x
  2. Step 2: Convert to fraction form
    7,668/10,583.76 = 4,357.92/x
  3. Step 3: Cross multiply
    7,668x = 10,583.76 × 4,357.92
  4. Step 4: Simplify right side
    7,668x = 46,123,179.38
  5. Step 5: Solve for x
    x = 46,123,179.38/7,668
  6. Step 6: Final answer
    x = 6,015.02

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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.