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Finding the Fourth Proportional to 11,783.66, 16,261.52 and 6,478.52

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Solution

The fourth proportional to 11,783.66, 16,261.52 and 6,478.52 is: 8,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.66 : 16,261.52 = 6,478.52 : x
  2. Step 2: Convert to fraction form
    11,783.66/16,261.52 = 6,478.52/x
  3. Step 3: Cross multiply
    11,783.66x = 16,261.52 × 6,478.52
  4. Step 4: Simplify right side
    11,783.66x = 105,350,468.85
  5. Step 5: Solve for x
    x = 105,350,468.85/11,783.66
  6. Step 6: Final answer
    x = 8,940.39

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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.