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Finding the Fourth Proportional to 12,130.56, 16,739.98 and 6,825.39

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Solution

The fourth proportional to 12,130.56, 16,739.98 and 6,825.39 is: 9,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.56 : 16,739.98 = 6,825.39 : x
  2. Step 2: Convert to fraction form
    12,130.56/16,739.98 = 6,825.39/x
  3. Step 3: Cross multiply
    12,130.56x = 16,739.98 × 6,825.39
  4. Step 4: Simplify right side
    12,130.56x = 114,256,774.27
  5. Step 5: Solve for x
    x = 114,256,774.27/12,130.56
  6. Step 6: Final answer
    x = 9,418.92

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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.