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Finding the Fourth Proportional to 7,034.33, 9,706.99 and 3,846.99

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Solution

The fourth proportional to 7,034.33, 9,706.99 and 3,846.99 is: 5,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.33 : 9,706.99 = 3,846.99 : x
  2. Step 2: Convert to fraction form
    7,034.33/9,706.99 = 3,846.99/x
  3. Step 3: Cross multiply
    7,034.33x = 9,706.99 × 3,846.99
  4. Step 4: Simplify right side
    7,034.33x = 37,342,693.46
  5. Step 5: Solve for x
    x = 37,342,693.46/7,034.33
  6. Step 6: Final answer
    x = 5,308.64

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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.