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Finding the Fourth Proportional to 23,437.24, 35,156 and 9,586.24

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Solution

The fourth proportional to 23,437.24, 35,156 and 9,586.24 is: 14,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.24 : 35,156 = 9,586.24 : x
  2. Step 2: Convert to fraction form
    23,437.24/35,156 = 9,586.24/x
  3. Step 3: Cross multiply
    23,437.24x = 35,156 × 9,586.24
  4. Step 4: Simplify right side
    23,437.24x = 337,013,853.44
  5. Step 5: Solve for x
    x = 337,013,853.44/23,437.24
  6. Step 6: Final answer
    x = 14,379.42

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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.