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Finding the Fourth Proportional to 6,342.05, 9,513.10 and 1,725.05

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Solution

The fourth proportional to 6,342.05, 9,513.10 and 1,725.05 is: 2,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.05 : 9,513.10 = 1,725.05 : x
  2. Step 2: Convert to fraction form
    6,342.05/9,513.10 = 1,725.05/x
  3. Step 3: Cross multiply
    6,342.05x = 9,513.10 × 1,725.05
  4. Step 4: Simplify right side
    6,342.05x = 16,410,535.88
  5. Step 5: Solve for x
    x = 16,410,535.88/6,342.05
  6. Step 6: Final answer
    x = 2,587.58

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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.