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Finding the Fourth Proportional to 9,716.94, 14,564.34 and 4,167.42

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Solution

The fourth proportional to 9,716.94, 14,564.34 and 4,167.42 is: 6,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.94 : 14,564.34 = 4,167.42 : x
  2. Step 2: Convert to fraction form
    9,716.94/14,564.34 = 4,167.42/x
  3. Step 3: Cross multiply
    9,716.94x = 14,564.34 × 4,167.42
  4. Step 4: Simplify right side
    9,716.94x = 60,695,721.80
  5. Step 5: Solve for x
    x = 60,695,721.80/9,716.94
  6. Step 6: Final answer
    x = 6,246.38

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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.