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Finding the Fourth Proportional to 16,460.30, 22,715.10 and 8,906.64

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Solution

The fourth proportional to 16,460.30, 22,715.10 and 8,906.64 is: 12,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.30 : 22,715.10 = 8,906.64 : x
  2. Step 2: Convert to fraction form
    16,460.30/22,715.10 = 8,906.64/x
  3. Step 3: Cross multiply
    16,460.30x = 22,715.10 × 8,906.64
  4. Step 4: Simplify right side
    16,460.30x = 202,315,218.26
  5. Step 5: Solve for x
    x = 202,315,218.26/16,460.30
  6. Step 6: Final answer
    x = 12,291.10

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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.