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Finding the Fourth Proportional to 12,957.60, 19,438.80 and 4,192.80

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Solution

The fourth proportional to 12,957.60, 19,438.80 and 4,192.80 is: 6,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.60 : 19,438.80 = 4,192.80 : x
  2. Step 2: Convert to fraction form
    12,957.60/19,438.80 = 4,192.80/x
  3. Step 3: Cross multiply
    12,957.60x = 19,438.80 × 4,192.80
  4. Step 4: Simplify right side
    12,957.60x = 81,503,000.64
  5. Step 5: Solve for x
    x = 81,503,000.64/12,957.60
  6. Step 6: Final answer
    x = 6,289.98

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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.