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Finding the Fourth Proportional to 10,615.25, 14,649.49 and 5,899.53

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Solution

The fourth proportional to 10,615.25, 14,649.49 and 5,899.53 is: 8,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.25 : 14,649.49 = 5,899.53 : x
  2. Step 2: Convert to fraction form
    10,615.25/14,649.49 = 5,899.53/x
  3. Step 3: Cross multiply
    10,615.25x = 14,649.49 × 5,899.53
  4. Step 4: Simplify right side
    10,615.25x = 86,425,105.74
  5. Step 5: Solve for x
    x = 86,425,105.74/10,615.25
  6. Step 6: Final answer
    x = 8,141.60

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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.