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Finding the Fourth Proportional to 10,649.60, 14,696.16 and 5,933.60

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Solution

The fourth proportional to 10,649.60, 14,696.16 and 5,933.60 is: 8,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.60 : 14,696.16 = 5,933.60 : x
  2. Step 2: Convert to fraction form
    10,649.60/14,696.16 = 5,933.60/x
  3. Step 3: Cross multiply
    10,649.60x = 14,696.16 × 5,933.60
  4. Step 4: Simplify right side
    10,649.60x = 87,201,134.98
  5. Step 5: Solve for x
    x = 87,201,134.98/10,649.60
  6. Step 6: Final answer
    x = 8,188.21

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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.