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Finding the Fourth Proportional to 6,700.80, 9,242.52 and 4,043.64

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Solution

The fourth proportional to 6,700.80, 9,242.52 and 4,043.64 is: 5,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.80 : 9,242.52 = 4,043.64 : x
  2. Step 2: Convert to fraction form
    6,700.80/9,242.52 = 4,043.64/x
  3. Step 3: Cross multiply
    6,700.80x = 9,242.52 × 4,043.64
  4. Step 4: Simplify right side
    6,700.80x = 37,373,423.57
  5. Step 5: Solve for x
    x = 37,373,423.57/6,700.80
  6. Step 6: Final answer
    x = 5,577.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.