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Finding the Fourth Proportional to 22,316.64, 33,474.96 and 8,465.64

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Solution

The fourth proportional to 22,316.64, 33,474.96 and 8,465.64 is: 12,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.64 : 33,474.96 = 8,465.64 : x
  2. Step 2: Convert to fraction form
    22,316.64/33,474.96 = 8,465.64/x
  3. Step 3: Cross multiply
    22,316.64x = 33,474.96 × 8,465.64
  4. Step 4: Simplify right side
    22,316.64x = 283,386,960.37
  5. Step 5: Solve for x
    x = 283,386,960.37/22,316.64
  6. Step 6: Final answer
    x = 12,698.46

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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.