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Finding the Fourth Proportional to 27,897.54, 41,840.64 and 8,170.80

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Solution

The fourth proportional to 27,897.54, 41,840.64 and 8,170.80 is: 12,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.54 : 41,840.64 = 8,170.80 : x
  2. Step 2: Convert to fraction form
    27,897.54/41,840.64 = 8,170.80/x
  3. Step 3: Cross multiply
    27,897.54x = 41,840.64 × 8,170.80
  4. Step 4: Simplify right side
    27,897.54x = 341,871,501.31
  5. Step 5: Solve for x
    x = 341,871,501.31/27,897.54
  6. Step 6: Final answer
    x = 12,254.54

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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.