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Finding the Fourth Proportional to 5,631.42, 8,406.88 and 4,893.50

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Solution

The fourth proportional to 5,631.42, 8,406.88 and 4,893.50 is: 7,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.42 : 8,406.88 = 4,893.50 : x
  2. Step 2: Convert to fraction form
    5,631.42/8,406.88 = 4,893.50/x
  3. Step 3: Cross multiply
    5,631.42x = 8,406.88 × 4,893.50
  4. Step 4: Simplify right side
    5,631.42x = 41,139,067.28
  5. Step 5: Solve for x
    x = 41,139,067.28/5,631.42
  6. Step 6: Final answer
    x = 7,305.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.