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Finding the Fourth Proportional to 11,322.60, 16,974.22 and 4,298.68

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Solution

The fourth proportional to 11,322.60, 16,974.22 and 4,298.68 is: 6,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.60 : 16,974.22 = 4,298.68 : x
  2. Step 2: Convert to fraction form
    11,322.60/16,974.22 = 4,298.68/x
  3. Step 3: Cross multiply
    11,322.60x = 16,974.22 × 4,298.68
  4. Step 4: Simplify right side
    11,322.60x = 72,966,740.03
  5. Step 5: Solve for x
    x = 72,966,740.03/11,322.60
  6. Step 6: Final answer
    x = 6,444.34

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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.