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Finding the Fourth Proportional to 7,280.14, 10,046.58 and 3,968.14

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Solution

The fourth proportional to 7,280.14, 10,046.58 and 3,968.14 is: 5,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.14 : 10,046.58 = 3,968.14 : x
  2. Step 2: Convert to fraction form
    7,280.14/10,046.58 = 3,968.14/x
  3. Step 3: Cross multiply
    7,280.14x = 10,046.58 × 3,968.14
  4. Step 4: Simplify right side
    7,280.14x = 39,866,235.96
  5. Step 5: Solve for x
    x = 39,866,235.96/7,280.14
  6. Step 6: Final answer
    x = 5,476.03

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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.