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Finding the Fourth Proportional to 12,860.56, 17,746.50 and 11,920.24

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Solution

The fourth proportional to 12,860.56, 17,746.50 and 11,920.24 is: 16,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.56 : 17,746.50 = 11,920.24 : x
  2. Step 2: Convert to fraction form
    12,860.56/17,746.50 = 11,920.24/x
  3. Step 3: Cross multiply
    12,860.56x = 17,746.50 × 11,920.24
  4. Step 4: Simplify right side
    12,860.56x = 211,542,539.16
  5. Step 5: Solve for x
    x = 211,542,539.16/12,860.56
  6. Step 6: Final answer
    x = 16,448.94

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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.