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Finding the Fourth Proportional to 7,806.18, 11,698.74 and 7,307.94

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Solution

The fourth proportional to 7,806.18, 11,698.74 and 7,307.94 is: 10,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.18 : 11,698.74 = 7,307.94 : x
  2. Step 2: Convert to fraction form
    7,806.18/11,698.74 = 7,307.94/x
  3. Step 3: Cross multiply
    7,806.18x = 11,698.74 × 7,307.94
  4. Step 4: Simplify right side
    7,806.18x = 85,493,690.00
  5. Step 5: Solve for x
    x = 85,493,690.00/7,806.18
  6. Step 6: Final answer
    x = 10,952.05

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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.