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Finding the Fourth Proportional to 12,682.86, 17,509.33 and 9,495.01

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Solution

The fourth proportional to 12,682.86, 17,509.33 and 9,495.01 is: 13,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.86 : 17,509.33 = 9,495.01 : x
  2. Step 2: Convert to fraction form
    12,682.86/17,509.33 = 9,495.01/x
  3. Step 3: Cross multiply
    12,682.86x = 17,509.33 × 9,495.01
  4. Step 4: Simplify right side
    12,682.86x = 166,251,263.44
  5. Step 5: Solve for x
    x = 166,251,263.44/12,682.86
  6. Step 6: Final answer
    x = 13,108.34

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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.