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Finding the Fourth Proportional to 7,014.80, 9,680.11 and 3,828.01

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Solution

The fourth proportional to 7,014.80, 9,680.11 and 3,828.01 is: 5,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.80 : 9,680.11 = 3,828.01 : x
  2. Step 2: Convert to fraction form
    7,014.80/9,680.11 = 3,828.01/x
  3. Step 3: Cross multiply
    7,014.80x = 9,680.11 × 3,828.01
  4. Step 4: Simplify right side
    7,014.80x = 37,055,576.46
  5. Step 5: Solve for x
    x = 37,055,576.46/7,014.80
  6. Step 6: Final answer
    x = 5,282.49

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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.