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Finding the Fourth Proportional to 9,707.94, 14,564.34 and 2,782.44

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Solution

The fourth proportional to 9,707.94, 14,564.34 and 2,782.44 is: 4,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.94 : 14,564.34 = 2,782.44 : x
  2. Step 2: Convert to fraction form
    9,707.94/14,564.34 = 2,782.44/x
  3. Step 3: Cross multiply
    9,707.94x = 14,564.34 × 2,782.44
  4. Step 4: Simplify right side
    9,707.94x = 40,524,402.19
  5. Step 5: Solve for x
    x = 40,524,402.19/9,707.94
  6. Step 6: Final answer
    x = 4,174.36

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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.