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Finding the Fourth Proportional to 9,214.42, 13,805.08 and 5,601.42

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Solution

The fourth proportional to 9,214.42, 13,805.08 and 5,601.42 is: 8,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.42 : 13,805.08 = 5,601.42 : x
  2. Step 2: Convert to fraction form
    9,214.42/13,805.08 = 5,601.42/x
  3. Step 3: Cross multiply
    9,214.42x = 13,805.08 × 5,601.42
  4. Step 4: Simplify right side
    9,214.42x = 77,328,051.21
  5. Step 5: Solve for x
    x = 77,328,051.21/9,214.42
  6. Step 6: Final answer
    x = 8,392.07

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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.