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Finding the Fourth Proportional to 9,719.68, 14,598.24 and 8,633.44

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Solution

The fourth proportional to 9,719.68, 14,598.24 and 8,633.44 is: 12,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.68 : 14,598.24 = 8,633.44 : x
  2. Step 2: Convert to fraction form
    9,719.68/14,598.24 = 8,633.44/x
  3. Step 3: Cross multiply
    9,719.68x = 14,598.24 × 8,633.44
  4. Step 4: Simplify right side
    9,719.68x = 126,033,029.15
  5. Step 5: Solve for x
    x = 126,033,029.15/9,719.68
  6. Step 6: Final answer
    x = 12,966.79

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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.