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Finding the Fourth Proportional to 9,564.45, 14,250.54 and 9,027.29

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Solution

The fourth proportional to 9,564.45, 14,250.54 and 9,027.29 is: 13,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.45 : 14,250.54 = 9,027.29 : x
  2. Step 2: Convert to fraction form
    9,564.45/14,250.54 = 9,027.29/x
  3. Step 3: Cross multiply
    9,564.45x = 14,250.54 × 9,027.29
  4. Step 4: Simplify right side
    9,564.45x = 128,643,757.24
  5. Step 5: Solve for x
    x = 128,643,757.24/9,564.45
  6. Step 6: Final answer
    x = 13,450.20

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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.