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Finding the Fourth Proportional to 7,130.80, 10,700.80 and 3,846.18

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Solution

The fourth proportional to 7,130.80, 10,700.80 and 3,846.18 is: 5,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.80 : 10,700.80 = 3,846.18 : x
  2. Step 2: Convert to fraction form
    7,130.80/10,700.80 = 3,846.18/x
  3. Step 3: Cross multiply
    7,130.80x = 10,700.80 × 3,846.18
  4. Step 4: Simplify right side
    7,130.80x = 41,157,193.33
  5. Step 5: Solve for x
    x = 41,157,193.33/7,130.80
  6. Step 6: Final answer
    x = 5,771.75

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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.