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Finding the Fourth Proportional to 6,548.92, 9,823.19 and 2,851.14

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Solution

The fourth proportional to 6,548.92, 9,823.19 and 2,851.14 is: 4,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.92 : 9,823.19 = 2,851.14 : x
  2. Step 2: Convert to fraction form
    6,548.92/9,823.19 = 2,851.14/x
  3. Step 3: Cross multiply
    6,548.92x = 9,823.19 × 2,851.14
  4. Step 4: Simplify right side
    6,548.92x = 28,007,272.51
  5. Step 5: Solve for x
    x = 28,007,272.51/6,548.92
  6. Step 6: Final answer
    x = 4,276.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.