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Finding the Fourth Proportional to 9,596.34, 13,243.05 and 5,617.54

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Solution

The fourth proportional to 9,596.34, 13,243.05 and 5,617.54 is: 7,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.34 : 13,243.05 = 5,617.54 : x
  2. Step 2: Convert to fraction form
    9,596.34/13,243.05 = 5,617.54/x
  3. Step 3: Cross multiply
    9,596.34x = 13,243.05 × 5,617.54
  4. Step 4: Simplify right side
    9,596.34x = 74,393,268.79
  5. Step 5: Solve for x
    x = 74,393,268.79/9,596.34
  6. Step 6: Final answer
    x = 7,752.25

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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.