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Finding the Fourth Proportional to 14,171.10, 21,257 and 6,776.34

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Solution

The fourth proportional to 14,171.10, 21,257 and 6,776.34 is: 10,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.10 : 21,257 = 6,776.34 : x
  2. Step 2: Convert to fraction form
    14,171.10/21,257 = 6,776.34/x
  3. Step 3: Cross multiply
    14,171.10x = 21,257 × 6,776.34
  4. Step 4: Simplify right side
    14,171.10x = 144,044,659.38
  5. Step 5: Solve for x
    x = 144,044,659.38/14,171.10
  6. Step 6: Final answer
    x = 10,164.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.