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Finding the Fourth Proportional to 27,377.67, 41,066.64 and 7,656.30

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Solution

The fourth proportional to 27,377.67, 41,066.64 and 7,656.30 is: 11,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377.67 : 41,066.64 = 7,656.30 : x
  2. Step 2: Convert to fraction form
    27,377.67/41,066.64 = 7,656.30/x
  3. Step 3: Cross multiply
    27,377.67x = 41,066.64 × 7,656.30
  4. Step 4: Simplify right side
    27,377.67x = 314,418,515.83
  5. Step 5: Solve for x
    x = 314,418,515.83/27,377.67
  6. Step 6: Final answer
    x = 11,484.49

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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.