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Finding the Fourth Proportional to 9,564.70, 14,250.91 and 9,027.54

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Solution

The fourth proportional to 9,564.70, 14,250.91 and 9,027.54 is: 13,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.70 : 14,250.91 = 9,027.54 : x
  2. Step 2: Convert to fraction form
    9,564.70/14,250.91 = 9,027.54/x
  3. Step 3: Cross multiply
    9,564.70x = 14,250.91 × 9,027.54
  4. Step 4: Simplify right side
    9,564.70x = 128,650,660.06
  5. Step 5: Solve for x
    x = 128,650,660.06/9,564.70
  6. Step 6: Final answer
    x = 13,450.58

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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.