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Finding the Fourth Proportional to 7,959.81, 10,984.23 and 4,423.23

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Solution

The fourth proportional to 7,959.81, 10,984.23 and 4,423.23 is: 6,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.81 : 10,984.23 = 4,423.23 : x
  2. Step 2: Convert to fraction form
    7,959.81/10,984.23 = 4,423.23/x
  3. Step 3: Cross multiply
    7,959.81x = 10,984.23 × 4,423.23
  4. Step 4: Simplify right side
    7,959.81x = 48,585,775.66
  5. Step 5: Solve for x
    x = 48,585,775.66/7,959.81
  6. Step 6: Final answer
    x = 6,103.89

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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.