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Finding the Fourth Proportional to 11,655.93, 16,091.14 and 7,898.95

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Solution

The fourth proportional to 11,655.93, 16,091.14 and 7,898.95 is: 10,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.93 : 16,091.14 = 7,898.95 : x
  2. Step 2: Convert to fraction form
    11,655.93/16,091.14 = 7,898.95/x
  3. Step 3: Cross multiply
    11,655.93x = 16,091.14 × 7,898.95
  4. Step 4: Simplify right side
    11,655.93x = 127,103,110.30
  5. Step 5: Solve for x
    x = 127,103,110.30/11,655.93
  6. Step 6: Final answer
    x = 10,904.59

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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.