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Finding the Fourth Proportional to 29,305.21, 43,957.29 and 9,314.61

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Solution

The fourth proportional to 29,305.21, 43,957.29 and 9,314.61 is: 13,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305.21 : 43,957.29 = 9,314.61 : x
  2. Step 2: Convert to fraction form
    29,305.21/43,957.29 = 9,314.61/x
  3. Step 3: Cross multiply
    29,305.21x = 43,957.29 × 9,314.61
  4. Step 4: Simplify right side
    29,305.21x = 409,445,013.01
  5. Step 5: Solve for x
    x = 409,445,013.01/29,305.21
  6. Step 6: Final answer
    x = 13,971.75

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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.