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Finding the Fourth Proportional to 11,002.30, 16,464.47 and 6,844.30

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Solution

The fourth proportional to 11,002.30, 16,464.47 and 6,844.30 is: 10,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.30 : 16,464.47 = 6,844.30 : x
  2. Step 2: Convert to fraction form
    11,002.30/16,464.47 = 6,844.30/x
  3. Step 3: Cross multiply
    11,002.30x = 16,464.47 × 6,844.30
  4. Step 4: Simplify right side
    11,002.30x = 112,687,696.64
  5. Step 5: Solve for x
    x = 112,687,696.64/11,002.30
  6. Step 6: Final answer
    x = 10,242.20

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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.