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Finding the Fourth Proportional to 7,768.50, 10,724.88 and 5,948.07

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Solution

The fourth proportional to 7,768.50, 10,724.88 and 5,948.07 is: 8,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.50 : 10,724.88 = 5,948.07 : x
  2. Step 2: Convert to fraction form
    7,768.50/10,724.88 = 5,948.07/x
  3. Step 3: Cross multiply
    7,768.50x = 10,724.88 × 5,948.07
  4. Step 4: Simplify right side
    7,768.50x = 63,792,336.98
  5. Step 5: Solve for x
    x = 63,792,336.98/7,768.50
  6. Step 6: Final answer
    x = 8,211.67

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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.