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Finding the Fourth Proportional to 9,835.26, 13,563.54 and 7,323.54

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Solution

The fourth proportional to 9,835.26, 13,563.54 and 7,323.54 is: 10,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.26 : 13,563.54 = 7,323.54 : x
  2. Step 2: Convert to fraction form
    9,835.26/13,563.54 = 7,323.54/x
  3. Step 3: Cross multiply
    9,835.26x = 13,563.54 × 7,323.54
  4. Step 4: Simplify right side
    9,835.26x = 99,333,127.73
  5. Step 5: Solve for x
    x = 99,333,127.73/9,835.26
  6. Step 6: Final answer
    x = 10,099.70

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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.