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Finding the Fourth Proportional to 6,534.92, 9,780.48 and 5,364.86

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Solution

The fourth proportional to 6,534.92, 9,780.48 and 5,364.86 is: 8,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.92 : 9,780.48 = 5,364.86 : x
  2. Step 2: Convert to fraction form
    6,534.92/9,780.48 = 5,364.86/x
  3. Step 3: Cross multiply
    6,534.92x = 9,780.48 × 5,364.86
  4. Step 4: Simplify right side
    6,534.92x = 52,470,905.93
  5. Step 5: Solve for x
    x = 52,470,905.93/6,534.92
  6. Step 6: Final answer
    x = 8,029.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.