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Finding the Fourth Proportional to 6,357.70, 9,536.82 and 1,975.24

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Solution

The fourth proportional to 6,357.70, 9,536.82 and 1,975.24 is: 2,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.70 : 9,536.82 = 1,975.24 : x
  2. Step 2: Convert to fraction form
    6,357.70/9,536.82 = 1,975.24/x
  3. Step 3: Cross multiply
    6,357.70x = 9,536.82 × 1,975.24
  4. Step 4: Simplify right side
    6,357.70x = 18,837,508.34
  5. Step 5: Solve for x
    x = 18,837,508.34/6,357.70
  6. Step 6: Final answer
    x = 2,962.94

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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.