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Finding the Fourth Proportional to 9,264.58, 12,759.47 and 8,005.23

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Solution

The fourth proportional to 9,264.58, 12,759.47 and 8,005.23 is: 11,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.58 : 12,759.47 = 8,005.23 : x
  2. Step 2: Convert to fraction form
    9,264.58/12,759.47 = 8,005.23/x
  3. Step 3: Cross multiply
    9,264.58x = 12,759.47 × 8,005.23
  4. Step 4: Simplify right side
    9,264.58x = 102,142,527.05
  5. Step 5: Solve for x
    x = 102,142,527.05/9,264.58
  6. Step 6: Final answer
    x = 11,025.06

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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.