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Finding the Fourth Proportional to 4,666.99, 6,984.05 and 2,912.82

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Solution

The fourth proportional to 4,666.99, 6,984.05 and 2,912.82 is: 4,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.99 : 6,984.05 = 2,912.82 : x
  2. Step 2: Convert to fraction form
    4,666.99/6,984.05 = 2,912.82/x
  3. Step 3: Cross multiply
    4,666.99x = 6,984.05 × 2,912.82
  4. Step 4: Simplify right side
    4,666.99x = 20,343,297.07
  5. Step 5: Solve for x
    x = 20,343,297.07/4,666.99
  6. Step 6: Final answer
    x = 4,358.97

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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.