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Finding the Fourth Proportional to 7,494.63, 11,242.13 and 2,564.24

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Solution

The fourth proportional to 7,494.63, 11,242.13 and 2,564.24 is: 3,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.63 : 11,242.13 = 2,564.24 : x
  2. Step 2: Convert to fraction form
    7,494.63/11,242.13 = 2,564.24/x
  3. Step 3: Cross multiply
    7,494.63x = 11,242.13 × 2,564.24
  4. Step 4: Simplify right side
    7,494.63x = 28,827,450.40
  5. Step 5: Solve for x
    x = 28,827,450.40/7,494.63
  6. Step 6: Final answer
    x = 3,846.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.