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Finding the Fourth Proportional to 9,583.32, 13,224.86 and 5,391.58

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Solution

The fourth proportional to 9,583.32, 13,224.86 and 5,391.58 is: 7,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.32 : 13,224.86 = 5,391.58 : x
  2. Step 2: Convert to fraction form
    9,583.32/13,224.86 = 5,391.58/x
  3. Step 3: Cross multiply
    9,583.32x = 13,224.86 × 5,391.58
  4. Step 4: Simplify right side
    9,583.32x = 71,302,890.68
  5. Step 5: Solve for x
    x = 71,302,890.68/9,583.32
  6. Step 6: Final answer
    x = 7,440.31

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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.