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Finding the Fourth Proportional to 6,585.84, 9,870.93 and 3,806.80

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Solution

The fourth proportional to 6,585.84, 9,870.93 and 3,806.80 is: 5,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.84 : 9,870.93 = 3,806.80 : x
  2. Step 2: Convert to fraction form
    6,585.84/9,870.93 = 3,806.80/x
  3. Step 3: Cross multiply
    6,585.84x = 9,870.93 × 3,806.80
  4. Step 4: Simplify right side
    6,585.84x = 37,576,631.65
  5. Step 5: Solve for x
    x = 37,576,631.65/6,585.84
  6. Step 6: Final answer
    x = 5,705.67

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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.