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Finding the Fourth Proportional to 6,357.09, 9,488.87 and 5,911.41

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Solution

The fourth proportional to 6,357.09, 9,488.87 and 5,911.41 is: 8,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.09 : 9,488.87 = 5,911.41 : x
  2. Step 2: Convert to fraction form
    6,357.09/9,488.87 = 5,911.41/x
  3. Step 3: Cross multiply
    6,357.09x = 9,488.87 × 5,911.41
  4. Step 4: Simplify right side
    6,357.09x = 56,092,615.79
  5. Step 5: Solve for x
    x = 56,092,615.79/6,357.09
  6. Step 6: Final answer
    x = 8,823.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.