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Finding the Fourth Proportional to 19,693.40, 29,540.10 and 4,902.20

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Solution

The fourth proportional to 19,693.40, 29,540.10 and 4,902.20 is: 7,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.40 : 29,540.10 = 4,902.20 : x
  2. Step 2: Convert to fraction form
    19,693.40/29,540.10 = 4,902.20/x
  3. Step 3: Cross multiply
    19,693.40x = 29,540.10 × 4,902.20
  4. Step 4: Simplify right side
    19,693.40x = 144,811,478.22
  5. Step 5: Solve for x
    x = 144,811,478.22/19,693.40
  6. Step 6: Final answer
    x = 7,353.30

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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.