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Finding the Fourth Proportional to 6,406.56, 9,589.14 and 5,800.32

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Solution

The fourth proportional to 6,406.56, 9,589.14 and 5,800.32 is: 8,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.56 : 9,589.14 = 5,800.32 : x
  2. Step 2: Convert to fraction form
    6,406.56/9,589.14 = 5,800.32/x
  3. Step 3: Cross multiply
    6,406.56x = 9,589.14 × 5,800.32
  4. Step 4: Simplify right side
    6,406.56x = 55,620,080.52
  5. Step 5: Solve for x
    x = 55,620,080.52/6,406.56
  6. Step 6: Final answer
    x = 8,681.74

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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.