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Finding the Fourth Proportional to 7,846.83, 11,770.23 and 4,927.18

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Solution

The fourth proportional to 7,846.83, 11,770.23 and 4,927.18 is: 7,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.83 : 11,770.23 = 4,927.18 : x
  2. Step 2: Convert to fraction form
    7,846.83/11,770.23 = 4,927.18/x
  3. Step 3: Cross multiply
    7,846.83x = 11,770.23 × 4,927.18
  4. Step 4: Simplify right side
    7,846.83x = 57,994,041.85
  5. Step 5: Solve for x
    x = 57,994,041.85/7,846.83
  6. Step 6: Final answer
    x = 7,390.76

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1.5x scale

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.