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Finding the Fourth Proportional to 19,497.60, 29,246.40 and 7,819.20

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Solution

The fourth proportional to 19,497.60, 29,246.40 and 7,819.20 is: 11,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.60 : 29,246.40 = 7,819.20 : x
  2. Step 2: Convert to fraction form
    19,497.60/29,246.40 = 7,819.20/x
  3. Step 3: Cross multiply
    19,497.60x = 29,246.40 × 7,819.20
  4. Step 4: Simplify right side
    19,497.60x = 228,683,450.88
  5. Step 5: Solve for x
    x = 228,683,450.88/19,497.60
  6. Step 6: Final answer
    x = 11,728.80

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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.