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Finding the Fourth Proportional to 6,502.80, 9,754.20 and 4,299.60

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Solution

The fourth proportional to 6,502.80, 9,754.20 and 4,299.60 is: 6,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.80 : 9,754.20 = 4,299.60 : x
  2. Step 2: Convert to fraction form
    6,502.80/9,754.20 = 4,299.60/x
  3. Step 3: Cross multiply
    6,502.80x = 9,754.20 × 4,299.60
  4. Step 4: Simplify right side
    6,502.80x = 41,939,158.32
  5. Step 5: Solve for x
    x = 41,939,158.32/6,502.80
  6. Step 6: Final answer
    x = 6,449.40

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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.