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Finding the Fourth Proportional to 7,960.84, 10,986 and 4,424.08

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Solution

The fourth proportional to 7,960.84, 10,986 and 4,424.08 is: 6,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.84 : 10,986 = 4,424.08 : x
  2. Step 2: Convert to fraction form
    7,960.84/10,986 = 4,424.08/x
  3. Step 3: Cross multiply
    7,960.84x = 10,986 × 4,424.08
  4. Step 4: Simplify right side
    7,960.84x = 48,602,942.88
  5. Step 5: Solve for x
    x = 48,602,942.88/7,960.84
  6. Step 6: Final answer
    x = 6,105.25

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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.