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Finding the Fourth Proportional to 10,793.60, 14,894.10 and 6,077.78

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Solution

The fourth proportional to 10,793.60, 14,894.10 and 6,077.78 is: 8,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.60 : 14,894.10 = 6,077.78 : x
  2. Step 2: Convert to fraction form
    10,793.60/14,894.10 = 6,077.78/x
  3. Step 3: Cross multiply
    10,793.60x = 14,894.10 × 6,077.78
  4. Step 4: Simplify right side
    10,793.60x = 90,523,063.10
  5. Step 5: Solve for x
    x = 90,523,063.10/10,793.60
  6. Step 6: Final answer
    x = 8,386.74

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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.