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Finding the Fourth Proportional to 16,181, 24,271.46 and 9,250.64

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Solution

The fourth proportional to 16,181, 24,271.46 and 9,250.64 is: 13,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181 : 24,271.46 = 9,250.64 : x
  2. Step 2: Convert to fraction form
    16,181/24,271.46 = 9,250.64/x
  3. Step 3: Cross multiply
    16,181x = 24,271.46 × 9,250.64
  4. Step 4: Simplify right side
    16,181x = 224,526,538.73
  5. Step 5: Solve for x
    x = 224,526,538.73/16,181
  6. Step 6: Final answer
    x = 13,875.94

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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.