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Finding the Fourth Proportional to 9,216.62, 13,816.62 and 6,256.07

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Solution

The fourth proportional to 9,216.62, 13,816.62 and 6,256.07 is: 9,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.62 : 13,816.62 = 6,256.07 : x
  2. Step 2: Convert to fraction form
    9,216.62/13,816.62 = 6,256.07/x
  3. Step 3: Cross multiply
    9,216.62x = 13,816.62 × 6,256.07
  4. Step 4: Simplify right side
    9,216.62x = 86,437,672.80
  5. Step 5: Solve for x
    x = 86,437,672.80/9,216.62
  6. Step 6: Final answer
    x = 9,378.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.