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Finding the Fourth Proportional to 12,022.88, 18,026.04 and 6,470.64

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Solution

The fourth proportional to 12,022.88, 18,026.04 and 6,470.64 is: 9,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.88 : 18,026.04 = 6,470.64 : x
  2. Step 2: Convert to fraction form
    12,022.88/18,026.04 = 6,470.64/x
  3. Step 3: Cross multiply
    12,022.88x = 18,026.04 × 6,470.64
  4. Step 4: Simplify right side
    12,022.88x = 116,640,015.47
  5. Step 5: Solve for x
    x = 116,640,015.47/12,022.88
  6. Step 6: Final answer
    x = 9,701.50

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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.