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Finding the Fourth Proportional to 7,322.84, 10,984.78 and 2,940.30

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Solution

The fourth proportional to 7,322.84, 10,984.78 and 2,940.30 is: 4,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.84 : 10,984.78 = 2,940.30 : x
  2. Step 2: Convert to fraction form
    7,322.84/10,984.78 = 2,940.30/x
  3. Step 3: Cross multiply
    7,322.84x = 10,984.78 × 2,940.30
  4. Step 4: Simplify right side
    7,322.84x = 32,298,574.93
  5. Step 5: Solve for x
    x = 32,298,574.93/7,322.84
  6. Step 6: Final answer
    x = 4,410.66

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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.