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Finding the Fourth Proportional to 27,419.74, 41,123.22 and 7,700.20

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Solution

The fourth proportional to 27,419.74, 41,123.22 and 7,700.20 is: 11,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.74 : 41,123.22 = 7,700.20 : x
  2. Step 2: Convert to fraction form
    27,419.74/41,123.22 = 7,700.20/x
  3. Step 3: Cross multiply
    27,419.74x = 41,123.22 × 7,700.20
  4. Step 4: Simplify right side
    27,419.74x = 316,657,018.64
  5. Step 5: Solve for x
    x = 316,657,018.64/27,419.74
  6. Step 6: Final answer
    x = 11,548.51

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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.