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Finding the Fourth Proportional to 9,806.87, 14,683.35 and 6,848.27

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Solution

The fourth proportional to 9,806.87, 14,683.35 and 6,848.27 is: 10,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.87 : 14,683.35 = 6,848.27 : x
  2. Step 2: Convert to fraction form
    9,806.87/14,683.35 = 6,848.27/x
  3. Step 3: Cross multiply
    9,806.87x = 14,683.35 × 6,848.27
  4. Step 4: Simplify right side
    9,806.87x = 100,555,574.67
  5. Step 5: Solve for x
    x = 100,555,574.67/9,806.87
  6. Step 6: Final answer
    x = 10,253.58

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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.