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Finding the Fourth Proportional to 6,700.40, 9,245.15 and 4,047.30

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Solution

The fourth proportional to 6,700.40, 9,245.15 and 4,047.30 is: 5,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.40 : 9,245.15 = 4,047.30 : x
  2. Step 2: Convert to fraction form
    6,700.40/9,245.15 = 4,047.30/x
  3. Step 3: Cross multiply
    6,700.40x = 9,245.15 × 4,047.30
  4. Step 4: Simplify right side
    6,700.40x = 37,417,895.60
  5. Step 5: Solve for x
    x = 37,417,895.60/6,700.40
  6. Step 6: Final answer
    x = 5,584.43

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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.