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Finding the Fourth Proportional to 7,833.98, 11,746.23 and 3,674.90

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Solution

The fourth proportional to 7,833.98, 11,746.23 and 3,674.90 is: 5,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.98 : 11,746.23 = 3,674.90 : x
  2. Step 2: Convert to fraction form
    7,833.98/11,746.23 = 3,674.90/x
  3. Step 3: Cross multiply
    7,833.98x = 11,746.23 × 3,674.90
  4. Step 4: Simplify right side
    7,833.98x = 43,166,161.90
  5. Step 5: Solve for x
    x = 43,166,161.90/7,833.98
  6. Step 6: Final answer
    x = 5,510.12

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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.