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Finding the Fourth Proportional to 10,793.22, 14,894.43 and 6,077.40

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Solution

The fourth proportional to 10,793.22, 14,894.43 and 6,077.40 is: 8,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.22 : 14,894.43 = 6,077.40 : x
  2. Step 2: Convert to fraction form
    10,793.22/14,894.43 = 6,077.40/x
  3. Step 3: Cross multiply
    10,793.22x = 14,894.43 × 6,077.40
  4. Step 4: Simplify right side
    10,793.22x = 90,519,408.88
  5. Step 5: Solve for x
    x = 90,519,408.88/10,793.22
  6. Step 6: Final answer
    x = 8,386.69

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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.