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Finding the Fourth Proportional to 10,793.32, 14,895.07 and 6,077.78

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Solution

The fourth proportional to 10,793.32, 14,895.07 and 6,077.78 is: 8,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.32 : 14,895.07 = 6,077.78 : x
  2. Step 2: Convert to fraction form
    10,793.32/14,895.07 = 6,077.78/x
  3. Step 3: Cross multiply
    10,793.32x = 14,895.07 × 6,077.78
  4. Step 4: Simplify right side
    10,793.32x = 90,528,958.54
  5. Step 5: Solve for x
    x = 90,528,958.54/10,793.32
  6. Step 6: Final answer
    x = 8,387.50

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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.