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Finding the Fourth Proportional to 7,099.85, 9,786.02 and 6,504.23

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Solution

The fourth proportional to 7,099.85, 9,786.02 and 6,504.23 is: 8,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.85 : 9,786.02 = 6,504.23 : x
  2. Step 2: Convert to fraction form
    7,099.85/9,786.02 = 6,504.23/x
  3. Step 3: Cross multiply
    7,099.85x = 9,786.02 × 6,504.23
  4. Step 4: Simplify right side
    7,099.85x = 63,650,516.81
  5. Step 5: Solve for x
    x = 63,650,516.81/7,099.85
  6. Step 6: Final answer
    x = 8,965.05

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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.