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Finding the Fourth Proportional to 16,351, 22,558.56 and 10,689.00

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Solution

The fourth proportional to 16,351, 22,558.56 and 10,689.00 is: 14,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351 : 22,558.56 = 10,689.00 : x
  2. Step 2: Convert to fraction form
    16,351/22,558.56 = 10,689.00/x
  3. Step 3: Cross multiply
    16,351x = 22,558.56 × 10,689.00
  4. Step 4: Simplify right side
    16,351x = 241,128,504.24
  5. Step 5: Solve for x
    x = 241,128,504.24/16,351
  6. Step 6: Final answer
    x = 14,747.02

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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.