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Finding the Fourth Proportional to 10,649.61, 14,696.15 and 5,933.79

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Solution

The fourth proportional to 10,649.61, 14,696.15 and 5,933.79 is: 8,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.61 : 14,696.15 = 5,933.79 : x
  2. Step 2: Convert to fraction form
    10,649.61/14,696.15 = 5,933.79/x
  3. Step 3: Cross multiply
    10,649.61x = 14,696.15 × 5,933.79
  4. Step 4: Simplify right side
    10,649.61x = 87,203,838.24
  5. Step 5: Solve for x
    x = 87,203,838.24/10,649.61
  6. Step 6: Final answer
    x = 8,188.45

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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.