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Finding the Fourth Proportional to 6,851.80, 10,277.70 and 6,563.80

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Solution

The fourth proportional to 6,851.80, 10,277.70 and 6,563.80 is: 9,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.80 : 10,277.70 = 6,563.80 : x
  2. Step 2: Convert to fraction form
    6,851.80/10,277.70 = 6,563.80/x
  3. Step 3: Cross multiply
    6,851.80x = 10,277.70 × 6,563.80
  4. Step 4: Simplify right side
    6,851.80x = 67,460,767.26
  5. Step 5: Solve for x
    x = 67,460,767.26/6,851.80
  6. Step 6: Final answer
    x = 9,845.70

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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.