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Finding the Fourth Proportional to 15,076.77, 20,807.22 and 8,364.57

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Solution

The fourth proportional to 15,076.77, 20,807.22 and 8,364.57 is: 11,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.77 : 20,807.22 = 8,364.57 : x
  2. Step 2: Convert to fraction form
    15,076.77/20,807.22 = 8,364.57/x
  3. Step 3: Cross multiply
    15,076.77x = 20,807.22 × 8,364.57
  4. Step 4: Simplify right side
    15,076.77x = 174,043,448.20
  5. Step 5: Solve for x
    x = 174,043,448.20/15,076.77
  6. Step 6: Final answer
    x = 11,543.82

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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.