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Finding the Fourth Proportional to 6,458.24, 9,701.94 and 5,583.44

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Solution

The fourth proportional to 6,458.24, 9,701.94 and 5,583.44 is: 8,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.24 : 9,701.94 = 5,583.44 : x
  2. Step 2: Convert to fraction form
    6,458.24/9,701.94 = 5,583.44/x
  3. Step 3: Cross multiply
    6,458.24x = 9,701.94 × 5,583.44
  4. Step 4: Simplify right side
    6,458.24x = 54,170,199.87
  5. Step 5: Solve for x
    x = 54,170,199.87/6,458.24
  6. Step 6: Final answer
    x = 8,387.77

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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.