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Finding the Fourth Proportional to 14,884.65, 20,541.03 and 8,170.16

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Solution

The fourth proportional to 14,884.65, 20,541.03 and 8,170.16 is: 11,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.65 : 20,541.03 = 8,170.16 : x
  2. Step 2: Convert to fraction form
    14,884.65/20,541.03 = 8,170.16/x
  3. Step 3: Cross multiply
    14,884.65x = 20,541.03 × 8,170.16
  4. Step 4: Simplify right side
    14,884.65x = 167,823,398.96
  5. Step 5: Solve for x
    x = 167,823,398.96/14,884.65
  6. Step 6: Final answer
    x = 11,274.93

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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.