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Finding the Fourth Proportional to 9,995.15, 14,992.70 and 4,074.50

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Solution

The fourth proportional to 9,995.15, 14,992.70 and 4,074.50 is: 6,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.15 : 14,992.70 = 4,074.50 : x
  2. Step 2: Convert to fraction form
    9,995.15/14,992.70 = 4,074.50/x
  3. Step 3: Cross multiply
    9,995.15x = 14,992.70 × 4,074.50
  4. Step 4: Simplify right side
    9,995.15x = 61,087,660.81
  5. Step 5: Solve for x
    x = 61,087,660.81/9,995.15
  6. Step 6: Final answer
    x = 6,111.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.