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Finding the Fourth Proportional to 7,014.91, 9,680.63 and 3,828.23

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Solution

The fourth proportional to 7,014.91, 9,680.63 and 3,828.23 is: 5,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.91 : 9,680.63 = 3,828.23 : x
  2. Step 2: Convert to fraction form
    7,014.91/9,680.63 = 3,828.23/x
  3. Step 3: Cross multiply
    7,014.91x = 9,680.63 × 3,828.23
  4. Step 4: Simplify right side
    7,014.91x = 37,059,699.86
  5. Step 5: Solve for x
    x = 37,059,699.86/7,014.91
  6. Step 6: Final answer
    x = 5,282.99

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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.