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Finding the Fourth Proportional to 10,793.46, 14,894.64 and 6,077.64

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Solution

The fourth proportional to 10,793.46, 14,894.64 and 6,077.64 is: 8,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.46 : 14,894.64 = 6,077.64 : x
  2. Step 2: Convert to fraction form
    10,793.46/14,894.64 = 6,077.64/x
  3. Step 3: Cross multiply
    10,793.46x = 14,894.64 × 6,077.64
  4. Step 4: Simplify right side
    10,793.46x = 90,524,259.85
  5. Step 5: Solve for x
    x = 90,524,259.85/10,793.46
  6. Step 6: Final answer
    x = 8,386.95

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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.