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Finding the Fourth Proportional to 9,224, 12,719.06 and 6,234.64

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Solution

The fourth proportional to 9,224, 12,719.06 and 6,234.64 is: 8,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224 : 12,719.06 = 6,234.64 : x
  2. Step 2: Convert to fraction form
    9,224/12,719.06 = 6,234.64/x
  3. Step 3: Cross multiply
    9,224x = 12,719.06 × 6,234.64
  4. Step 4: Simplify right side
    9,224x = 79,298,760.24
  5. Step 5: Solve for x
    x = 79,298,760.24/9,224
  6. Step 6: Final answer
    x = 8,597.00

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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.