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Finding the Fourth Proportional to 11,506.64, 17,230.68 and 7,605.20

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Solution

The fourth proportional to 11,506.64, 17,230.68 and 7,605.20 is: 11,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.64 : 17,230.68 = 7,605.20 : x
  2. Step 2: Convert to fraction form
    11,506.64/17,230.68 = 7,605.20/x
  3. Step 3: Cross multiply
    11,506.64x = 17,230.68 × 7,605.20
  4. Step 4: Simplify right side
    11,506.64x = 131,042,767.54
  5. Step 5: Solve for x
    x = 131,042,767.54/11,506.64
  6. Step 6: Final answer
    x = 11,388.45

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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.