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Finding the Fourth Proportional to 6,277.60, 9,416.40 and 6,180.40

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Solution

The fourth proportional to 6,277.60, 9,416.40 and 6,180.40 is: 9,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.60 : 9,416.40 = 6,180.40 : x
  2. Step 2: Convert to fraction form
    6,277.60/9,416.40 = 6,180.40/x
  3. Step 3: Cross multiply
    6,277.60x = 9,416.40 × 6,180.40
  4. Step 4: Simplify right side
    6,277.60x = 58,197,118.56
  5. Step 5: Solve for x
    x = 58,197,118.56/6,277.60
  6. Step 6: Final answer
    x = 9,270.60

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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.