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Finding the Fourth Proportional to 12,733.85, 17,580.03 and 8,483.78

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Solution

The fourth proportional to 12,733.85, 17,580.03 and 8,483.78 is: 11,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.85 : 17,580.03 = 8,483.78 : x
  2. Step 2: Convert to fraction form
    12,733.85/17,580.03 = 8,483.78/x
  3. Step 3: Cross multiply
    12,733.85x = 17,580.03 × 8,483.78
  4. Step 4: Simplify right side
    12,733.85x = 149,145,106.91
  5. Step 5: Solve for x
    x = 149,145,106.91/12,733.85
  6. Step 6: Final answer
    x = 11,712.49

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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.