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Finding the Fourth Proportional to 7,662.19, 10,578.25 and 5,014.21

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Solution

The fourth proportional to 7,662.19, 10,578.25 and 5,014.21 is: 6,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.19 : 10,578.25 = 5,014.21 : x
  2. Step 2: Convert to fraction form
    7,662.19/10,578.25 = 5,014.21/x
  3. Step 3: Cross multiply
    7,662.19x = 10,578.25 × 5,014.21
  4. Step 4: Simplify right side
    7,662.19x = 53,041,566.93
  5. Step 5: Solve for x
    x = 53,041,566.93/7,662.19
  6. Step 6: Final answer
    x = 6,922.51

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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.