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Finding the Fourth Proportional to 14,846.08, 20,490.96 and 9,256

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Solution

The fourth proportional to 14,846.08, 20,490.96 and 9,256 is: 12,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.08 : 20,490.96 = 9,256 : x
  2. Step 2: Convert to fraction form
    14,846.08/20,490.96 = 9,256/x
  3. Step 3: Cross multiply
    14,846.08x = 20,490.96 × 9,256
  4. Step 4: Simplify right side
    14,846.08x = 189,664,325.76
  5. Step 5: Solve for x
    x = 189,664,325.76/14,846.08
  6. Step 6: Final answer
    x = 12,775.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.