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Finding the Fourth Proportional to 16,088.14, 22,202 and 9,014.55

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Solution

The fourth proportional to 16,088.14, 22,202 and 9,014.55 is: 12,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088.14 : 22,202 = 9,014.55 : x
  2. Step 2: Convert to fraction form
    16,088.14/22,202 = 9,014.55/x
  3. Step 3: Cross multiply
    16,088.14x = 22,202 × 9,014.55
  4. Step 4: Simplify right side
    16,088.14x = 200,141,039.10
  5. Step 5: Solve for x
    x = 200,141,039.10/16,088.14
  6. Step 6: Final answer
    x = 12,440.28

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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.