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Finding the Fourth Proportional to 6,867.36, 9,477.45 and 3,883.23

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Solution

The fourth proportional to 6,867.36, 9,477.45 and 3,883.23 is: 5,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.36 : 9,477.45 = 3,883.23 : x
  2. Step 2: Convert to fraction form
    6,867.36/9,477.45 = 3,883.23/x
  3. Step 3: Cross multiply
    6,867.36x = 9,477.45 × 3,883.23
  4. Step 4: Simplify right side
    6,867.36x = 36,803,118.16
  5. Step 5: Solve for x
    x = 36,803,118.16/6,867.36
  6. Step 6: Final answer
    x = 5,359.14

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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.