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Finding the Fourth Proportional to 9,683.46, 14,525.22 and 6,911.46

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Solution

The fourth proportional to 9,683.46, 14,525.22 and 6,911.46 is: 10,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.46 : 14,525.22 = 6,911.46 : x
  2. Step 2: Convert to fraction form
    9,683.46/14,525.22 = 6,911.46/x
  3. Step 3: Cross multiply
    9,683.46x = 14,525.22 × 6,911.46
  4. Step 4: Simplify right side
    9,683.46x = 100,390,477.02
  5. Step 5: Solve for x
    x = 100,390,477.02/9,683.46
  6. Step 6: Final answer
    x = 10,367.21

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Half scale
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Double scale
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Similar ratio
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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.