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Finding the Fourth Proportional to 12,662.64, 19,002.12 and 6,823.32

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Solution

The fourth proportional to 12,662.64, 19,002.12 and 6,823.32 is: 10,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.64 : 19,002.12 = 6,823.32 : x
  2. Step 2: Convert to fraction form
    12,662.64/19,002.12 = 6,823.32/x
  3. Step 3: Cross multiply
    12,662.64x = 19,002.12 × 6,823.32
  4. Step 4: Simplify right side
    12,662.64x = 129,657,545.44
  5. Step 5: Solve for x
    x = 129,657,545.44/12,662.64
  6. Step 6: Final answer
    x = 10,239.38

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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.