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Finding the Fourth Proportional to 11,615.94, 16,029.97 and 6,580.15

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Solution

The fourth proportional to 11,615.94, 16,029.97 and 6,580.15 is: 9,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.94 : 16,029.97 = 6,580.15 : x
  2. Step 2: Convert to fraction form
    11,615.94/16,029.97 = 6,580.15/x
  3. Step 3: Cross multiply
    11,615.94x = 16,029.97 × 6,580.15
  4. Step 4: Simplify right side
    11,615.94x = 105,479,607.10
  5. Step 5: Solve for x
    x = 105,479,607.10/11,615.94
  6. Step 6: Final answer
    x = 9,080.59

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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.