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Finding the Fourth Proportional to 6,178.40, 9,289.20 and 6,048.80

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Solution

The fourth proportional to 6,178.40, 9,289.20 and 6,048.80 is: 9,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.40 : 9,289.20 = 6,048.80 : x
  2. Step 2: Convert to fraction form
    6,178.40/9,289.20 = 6,048.80/x
  3. Step 3: Cross multiply
    6,178.40x = 9,289.20 × 6,048.80
  4. Step 4: Simplify right side
    6,178.40x = 56,188,512.96
  5. Step 5: Solve for x
    x = 56,188,512.96/6,178.40
  6. Step 6: Final answer
    x = 9,094.35

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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.