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Finding the Fourth Proportional to 27,656.54, 41,477.64 and 7,930.47

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Solution

The fourth proportional to 27,656.54, 41,477.64 and 7,930.47 is: 11,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.54 : 41,477.64 = 7,930.47 : x
  2. Step 2: Convert to fraction form
    27,656.54/41,477.64 = 7,930.47/x
  3. Step 3: Cross multiply
    27,656.54x = 41,477.64 × 7,930.47
  4. Step 4: Simplify right side
    27,656.54x = 328,937,305.49
  5. Step 5: Solve for x
    x = 328,937,305.49/27,656.54
  6. Step 6: Final answer
    x = 11,893.65

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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.