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Finding the Fourth Proportional to 10,522.08, 15,768.08 and 7,726.82

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Solution

The fourth proportional to 10,522.08, 15,768.08 and 7,726.82 is: 11,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.08 : 15,768.08 = 7,726.82 : x
  2. Step 2: Convert to fraction form
    10,522.08/15,768.08 = 7,726.82/x
  3. Step 3: Cross multiply
    10,522.08x = 15,768.08 × 7,726.82
  4. Step 4: Simplify right side
    10,522.08x = 121,837,115.91
  5. Step 5: Solve for x
    x = 121,837,115.91/10,522.08
  6. Step 6: Final answer
    x = 11,579.19

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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.