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Finding the Fourth Proportional to 11,842.95, 16,335.97 and 7,059.68

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Solution

The fourth proportional to 11,842.95, 16,335.97 and 7,059.68 is: 9,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.95 : 16,335.97 = 7,059.68 : x
  2. Step 2: Convert to fraction form
    11,842.95/16,335.97 = 7,059.68/x
  3. Step 3: Cross multiply
    11,842.95x = 16,335.97 × 7,059.68
  4. Step 4: Simplify right side
    11,842.95x = 115,326,682.62
  5. Step 5: Solve for x
    x = 115,326,682.62/11,842.95
  6. Step 6: Final answer
    x = 9,738.00

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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.