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Finding the Fourth Proportional to 7,014.47, 9,680 and 3,827.80

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Solution

The fourth proportional to 7,014.47, 9,680 and 3,827.80 is: 5,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.47 : 9,680 = 3,827.80 : x
  2. Step 2: Convert to fraction form
    7,014.47/9,680 = 3,827.80/x
  3. Step 3: Cross multiply
    7,014.47x = 9,680 × 3,827.80
  4. Step 4: Simplify right side
    7,014.47x = 37,053,104
  5. Step 5: Solve for x
    x = 37,053,104/7,014.47
  6. Step 6: Final answer
    x = 5,282.38

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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.