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Finding the Fourth Proportional to 9,894.74, 13,649.78 and 5,914.80

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Solution

The fourth proportional to 9,894.74, 13,649.78 and 5,914.80 is: 8,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.74 : 13,649.78 = 5,914.80 : x
  2. Step 2: Convert to fraction form
    9,894.74/13,649.78 = 5,914.80/x
  3. Step 3: Cross multiply
    9,894.74x = 13,649.78 × 5,914.80
  4. Step 4: Simplify right side
    9,894.74x = 80,735,733.53
  5. Step 5: Solve for x
    x = 80,735,733.53/9,894.74
  6. Step 6: Final answer
    x = 8,159.46

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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.