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Finding the Fourth Proportional to 23,507.30, 35,261.03 and 5,977.13

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Solution

The fourth proportional to 23,507.30, 35,261.03 and 5,977.13 is: 8,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.30 : 35,261.03 = 5,977.13 : x
  2. Step 2: Convert to fraction form
    23,507.30/35,261.03 = 5,977.13/x
  3. Step 3: Cross multiply
    23,507.30x = 35,261.03 × 5,977.13
  4. Step 4: Simplify right side
    23,507.30x = 210,759,554.05
  5. Step 5: Solve for x
    x = 210,759,554.05/23,507.30
  6. Step 6: Final answer
    x = 8,965.71

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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.