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Finding the Fourth Proportional to 27,002.44, 40,503.66 and 8,533

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Solution

The fourth proportional to 27,002.44, 40,503.66 and 8,533 is: 12,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.44 : 40,503.66 = 8,533 : x
  2. Step 2: Convert to fraction form
    27,002.44/40,503.66 = 8,533/x
  3. Step 3: Cross multiply
    27,002.44x = 40,503.66 × 8,533
  4. Step 4: Simplify right side
    27,002.44x = 345,617,730.78
  5. Step 5: Solve for x
    x = 345,617,730.78/27,002.44
  6. Step 6: Final answer
    x = 12,799.50

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Double scale
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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.