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Finding the Fourth Proportional to 16,357.94, 22,573.72 and 9,643.84

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Solution

The fourth proportional to 16,357.94, 22,573.72 and 9,643.84 is: 13,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.94 : 22,573.72 = 9,643.84 : x
  2. Step 2: Convert to fraction form
    16,357.94/22,573.72 = 9,643.84/x
  3. Step 3: Cross multiply
    16,357.94x = 22,573.72 × 9,643.84
  4. Step 4: Simplify right side
    16,357.94x = 217,697,343.88
  5. Step 5: Solve for x
    x = 217,697,343.88/16,357.94
  6. Step 6: Final answer
    x = 13,308.36

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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.