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Finding the Fourth Proportional to 9,683.40, 14,546.70 and 9,424.20

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Solution

The fourth proportional to 9,683.40, 14,546.70 and 9,424.20 is: 14,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.40 : 14,546.70 = 9,424.20 : x
  2. Step 2: Convert to fraction form
    9,683.40/14,546.70 = 9,424.20/x
  3. Step 3: Cross multiply
    9,683.40x = 14,546.70 × 9,424.20
  4. Step 4: Simplify right side
    9,683.40x = 137,091,010.14
  5. Step 5: Solve for x
    x = 137,091,010.14/9,683.40
  6. Step 6: Final answer
    x = 14,157.32

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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.