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Finding the Fourth Proportional to 9,793.70, 13,508.32 and 6,917.80

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Solution

The fourth proportional to 9,793.70, 13,508.32 and 6,917.80 is: 9,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.70 : 13,508.32 = 6,917.80 : x
  2. Step 2: Convert to fraction form
    9,793.70/13,508.32 = 6,917.80/x
  3. Step 3: Cross multiply
    9,793.70x = 13,508.32 × 6,917.80
  4. Step 4: Simplify right side
    9,793.70x = 93,447,856.10
  5. Step 5: Solve for x
    x = 93,447,856.10/9,793.70
  6. Step 6: Final answer
    x = 9,541.63

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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.