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Finding the Fourth Proportional to 6,506.06, 8,971.36 and 6,369.37

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Solution

The fourth proportional to 6,506.06, 8,971.36 and 6,369.37 is: 8,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.06 : 8,971.36 = 6,369.37 : x
  2. Step 2: Convert to fraction form
    6,506.06/8,971.36 = 6,369.37/x
  3. Step 3: Cross multiply
    6,506.06x = 8,971.36 × 6,369.37
  4. Step 4: Simplify right side
    6,506.06x = 57,141,872.89
  5. Step 5: Solve for x
    x = 57,141,872.89/6,506.06
  6. Step 6: Final answer
    x = 8,782.88

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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.