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Finding the Fourth Proportional to 8,464.56, 11,684.16 and 6,889.92

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Solution

The fourth proportional to 8,464.56, 11,684.16 and 6,889.92 is: 9,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.56 : 11,684.16 = 6,889.92 : x
  2. Step 2: Convert to fraction form
    8,464.56/11,684.16 = 6,889.92/x
  3. Step 3: Cross multiply
    8,464.56x = 11,684.16 × 6,889.92
  4. Step 4: Simplify right side
    8,464.56x = 80,502,927.67
  5. Step 5: Solve for x
    x = 80,502,927.67/8,464.56
  6. Step 6: Final answer
    x = 9,510.59

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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.