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Finding the Fourth Proportional to 10,649.93, 14,696.93 and 5,934.38

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Solution

The fourth proportional to 10,649.93, 14,696.93 and 5,934.38 is: 8,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.93 : 14,696.93 = 5,934.38 : x
  2. Step 2: Convert to fraction form
    10,649.93/14,696.93 = 5,934.38/x
  3. Step 3: Cross multiply
    10,649.93x = 14,696.93 × 5,934.38
  4. Step 4: Simplify right side
    10,649.93x = 87,217,167.45
  5. Step 5: Solve for x
    x = 87,217,167.45/10,649.93
  6. Step 6: Final answer
    x = 8,189.46

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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.