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Finding the Fourth Proportional to 7,014.93, 9,680.65 and 3,828.25

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Solution

The fourth proportional to 7,014.93, 9,680.65 and 3,828.25 is: 5,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.93 : 9,680.65 = 3,828.25 : x
  2. Step 2: Convert to fraction form
    7,014.93/9,680.65 = 3,828.25/x
  3. Step 3: Cross multiply
    7,014.93x = 9,680.65 × 3,828.25
  4. Step 4: Simplify right side
    7,014.93x = 37,059,936.97
  5. Step 5: Solve for x
    x = 37,059,936.97/7,014.93
  6. Step 6: Final answer
    x = 5,283.01

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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.