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Finding the Fourth Proportional to 9,140.48, 13,644.54 and 8,033.32

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Solution

The fourth proportional to 9,140.48, 13,644.54 and 8,033.32 is: 11,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.48 : 13,644.54 = 8,033.32 : x
  2. Step 2: Convert to fraction form
    9,140.48/13,644.54 = 8,033.32/x
  3. Step 3: Cross multiply
    9,140.48x = 13,644.54 × 8,033.32
  4. Step 4: Simplify right side
    9,140.48x = 109,610,956.07
  5. Step 5: Solve for x
    x = 109,610,956.07/9,140.48
  6. Step 6: Final answer
    x = 11,991.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.