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Finding the Fourth Proportional to 27,810.02, 41,714.67 and 6,750.22

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Solution

The fourth proportional to 27,810.02, 41,714.67 and 6,750.22 is: 10,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.02 : 41,714.67 = 6,750.22 : x
  2. Step 2: Convert to fraction form
    27,810.02/41,714.67 = 6,750.22/x
  3. Step 3: Cross multiply
    27,810.02x = 41,714.67 × 6,750.22
  4. Step 4: Simplify right side
    27,810.02x = 281,583,199.73
  5. Step 5: Solve for x
    x = 281,583,199.73/27,810.02
  6. Step 6: Final answer
    x = 10,125.24

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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.