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Finding the Fourth Proportional to 6,296.86, 9,444.06 and 5,984.68

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Solution

The fourth proportional to 6,296.86, 9,444.06 and 5,984.68 is: 8,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.86 : 9,444.06 = 5,984.68 : x
  2. Step 2: Convert to fraction form
    6,296.86/9,444.06 = 5,984.68/x
  3. Step 3: Cross multiply
    6,296.86x = 9,444.06 × 5,984.68
  4. Step 4: Simplify right side
    6,296.86x = 56,519,677.00
  5. Step 5: Solve for x
    x = 56,519,677.00/6,296.86
  6. Step 6: Final answer
    x = 8,975.85

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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.