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Finding the Fourth Proportional to 10,649.66, 14,696.62 and 5,869.77

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Solution

The fourth proportional to 10,649.66, 14,696.62 and 5,869.77 is: 8,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.66 : 14,696.62 = 5,869.77 : x
  2. Step 2: Convert to fraction form
    10,649.66/14,696.62 = 5,869.77/x
  3. Step 3: Cross multiply
    10,649.66x = 14,696.62 × 5,869.77
  4. Step 4: Simplify right side
    10,649.66x = 86,265,764.50
  5. Step 5: Solve for x
    x = 86,265,764.50/10,649.66
  6. Step 6: Final answer
    x = 8,100.33

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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.