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Finding the Fourth Proportional to 9,937.40, 14,906.10 and 6,438.20

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Solution

The fourth proportional to 9,937.40, 14,906.10 and 6,438.20 is: 9,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.40 : 14,906.10 = 6,438.20 : x
  2. Step 2: Convert to fraction form
    9,937.40/14,906.10 = 6,438.20/x
  3. Step 3: Cross multiply
    9,937.40x = 14,906.10 × 6,438.20
  4. Step 4: Simplify right side
    9,937.40x = 95,968,453.02
  5. Step 5: Solve for x
    x = 95,968,453.02/9,937.40
  6. Step 6: Final answer
    x = 9,657.30

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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.