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Finding the Fourth Proportional to 16,573.14, 22,870.26 and 9,494.64

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Solution

The fourth proportional to 16,573.14, 22,870.26 and 9,494.64 is: 13,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.14 : 22,870.26 = 9,494.64 : x
  2. Step 2: Convert to fraction form
    16,573.14/22,870.26 = 9,494.64/x
  3. Step 3: Cross multiply
    16,573.14x = 22,870.26 × 9,494.64
  4. Step 4: Simplify right side
    16,573.14x = 217,144,885.41
  5. Step 5: Solve for x
    x = 217,144,885.41/16,573.14
  6. Step 6: Final answer
    x = 13,102.22

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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.