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Finding the Fourth Proportional to 10,725.60, 16,064.10 and 6,351.60

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Solution

The fourth proportional to 10,725.60, 16,064.10 and 6,351.60 is: 9,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.60 : 16,064.10 = 6,351.60 : x
  2. Step 2: Convert to fraction form
    10,725.60/16,064.10 = 6,351.60/x
  3. Step 3: Cross multiply
    10,725.60x = 16,064.10 × 6,351.60
  4. Step 4: Simplify right side
    10,725.60x = 102,032,737.56
  5. Step 5: Solve for x
    x = 102,032,737.56/10,725.60
  6. Step 6: Final answer
    x = 9,513.01

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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.