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Finding the Fourth Proportional to 6,520.56, 9,754.08 and 5,426.40

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Solution

The fourth proportional to 6,520.56, 9,754.08 and 5,426.40 is: 8,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.56 : 9,754.08 = 5,426.40 : x
  2. Step 2: Convert to fraction form
    6,520.56/9,754.08 = 5,426.40/x
  3. Step 3: Cross multiply
    6,520.56x = 9,754.08 × 5,426.40
  4. Step 4: Simplify right side
    6,520.56x = 52,929,539.71
  5. Step 5: Solve for x
    x = 52,929,539.71/6,520.56
  6. Step 6: Final answer
    x = 8,117.33

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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.