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Finding the Fourth Proportional to 10,649.74, 14,696.74 and 5,869.86

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Solution

The fourth proportional to 10,649.74, 14,696.74 and 5,869.86 is: 8,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.74 : 14,696.74 = 5,869.86 : x
  2. Step 2: Convert to fraction form
    10,649.74/14,696.74 = 5,869.86/x
  3. Step 3: Cross multiply
    10,649.74x = 14,696.74 × 5,869.86
  4. Step 4: Simplify right side
    10,649.74x = 86,267,784.19
  5. Step 5: Solve for x
    x = 86,267,784.19/10,649.74
  6. Step 6: Final answer
    x = 8,100.46

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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.