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Finding the Fourth Proportional to 27,001.75, 40,509.12 and 8,533.75

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Solution

The fourth proportional to 27,001.75, 40,509.12 and 8,533.75 is: 12,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.75 : 40,509.12 = 8,533.75 : x
  2. Step 2: Convert to fraction form
    27,001.75/40,509.12 = 8,533.75/x
  3. Step 3: Cross multiply
    27,001.75x = 40,509.12 × 8,533.75
  4. Step 4: Simplify right side
    27,001.75x = 345,694,702.80
  5. Step 5: Solve for x
    x = 345,694,702.80/27,001.75
  6. Step 6: Final answer
    x = 12,802.68

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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.