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Finding the Fourth Proportional to 6,596.91, 9,101.36 and 4,078.22

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Solution

The fourth proportional to 6,596.91, 9,101.36 and 4,078.22 is: 5,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.91 : 9,101.36 = 4,078.22 : x
  2. Step 2: Convert to fraction form
    6,596.91/9,101.36 = 4,078.22/x
  3. Step 3: Cross multiply
    6,596.91x = 9,101.36 × 4,078.22
  4. Step 4: Simplify right side
    6,596.91x = 37,117,313.07
  5. Step 5: Solve for x
    x = 37,117,313.07/6,596.91
  6. Step 6: Final answer
    x = 5,626.47

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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.