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Finding the Fourth Proportional to 27,270.64, 40,905.96 and 7,549.21

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Solution

The fourth proportional to 27,270.64, 40,905.96 and 7,549.21 is: 11,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.64 : 40,905.96 = 7,549.21 : x
  2. Step 2: Convert to fraction form
    27,270.64/40,905.96 = 7,549.21/x
  3. Step 3: Cross multiply
    27,270.64x = 40,905.96 × 7,549.21
  4. Step 4: Simplify right side
    27,270.64x = 308,807,682.29
  5. Step 5: Solve for x
    x = 308,807,682.29/27,270.64
  6. Step 6: Final answer
    x = 11,323.82

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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.