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Finding the Fourth Proportional to 9,644.42, 13,309.08 and 5,337.38

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Solution

The fourth proportional to 9,644.42, 13,309.08 and 5,337.38 is: 7,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.42 : 13,309.08 = 5,337.38 : x
  2. Step 2: Convert to fraction form
    9,644.42/13,309.08 = 5,337.38/x
  3. Step 3: Cross multiply
    9,644.42x = 13,309.08 × 5,337.38
  4. Step 4: Simplify right side
    9,644.42x = 71,035,550.87
  5. Step 5: Solve for x
    x = 71,035,550.87/9,644.42
  6. Step 6: Final answer
    x = 7,365.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.