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Finding the Fourth Proportional to 10,457.14, 14,425.41 and 8,469.94

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Solution

The fourth proportional to 10,457.14, 14,425.41 and 8,469.94 is: 11,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.14 : 14,425.41 = 8,469.94 : x
  2. Step 2: Convert to fraction form
    10,457.14/14,425.41 = 8,469.94/x
  3. Step 3: Cross multiply
    10,457.14x = 14,425.41 × 8,469.94
  4. Step 4: Simplify right side
    10,457.14x = 122,182,357.18
  5. Step 5: Solve for x
    x = 122,182,357.18/10,457.14
  6. Step 6: Final answer
    x = 11,684.11

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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.