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Finding the Fourth Proportional to 9,793.76, 13,508.70 and 6,255.38

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Solution

The fourth proportional to 9,793.76, 13,508.70 and 6,255.38 is: 8,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.76 : 13,508.70 = 6,255.38 : x
  2. Step 2: Convert to fraction form
    9,793.76/13,508.70 = 6,255.38/x
  3. Step 3: Cross multiply
    9,793.76x = 13,508.70 × 6,255.38
  4. Step 4: Simplify right side
    9,793.76x = 84,502,051.81
  5. Step 5: Solve for x
    x = 84,502,051.81/9,793.76
  6. Step 6: Final answer
    x = 8,628.15

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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.