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Finding the Fourth Proportional to 6,783.60, 10,175.40 and 6,200.40

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Solution

The fourth proportional to 6,783.60, 10,175.40 and 6,200.40 is: 9,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.60 : 10,175.40 = 6,200.40 : x
  2. Step 2: Convert to fraction form
    6,783.60/10,175.40 = 6,200.40/x
  3. Step 3: Cross multiply
    6,783.60x = 10,175.40 × 6,200.40
  4. Step 4: Simplify right side
    6,783.60x = 63,091,550.16
  5. Step 5: Solve for x
    x = 63,091,550.16/6,783.60
  6. Step 6: Final answer
    x = 9,300.60

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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.