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Finding the Fourth Proportional to 16,110, 22,235.64 and 9,827.64

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Solution

The fourth proportional to 16,110, 22,235.64 and 9,827.64 is: 13,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110 : 22,235.64 = 9,827.64 : x
  2. Step 2: Convert to fraction form
    16,110/22,235.64 = 9,827.64/x
  3. Step 3: Cross multiply
    16,110x = 22,235.64 × 9,827.64
  4. Step 4: Simplify right side
    16,110x = 218,523,865.09
  5. Step 5: Solve for x
    x = 218,523,865.09/16,110
  6. Step 6: Final answer
    x = 13,564.49

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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.