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Finding the Fourth Proportional to 6,520.68, 9,764.33 and 3,595.74

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Solution

The fourth proportional to 6,520.68, 9,764.33 and 3,595.74 is: 5,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.68 : 9,764.33 = 3,595.74 : x
  2. Step 2: Convert to fraction form
    6,520.68/9,764.33 = 3,595.74/x
  3. Step 3: Cross multiply
    6,520.68x = 9,764.33 × 3,595.74
  4. Step 4: Simplify right side
    6,520.68x = 35,109,973.98
  5. Step 5: Solve for x
    x = 35,109,973.98/6,520.68
  6. Step 6: Final answer
    x = 5,384.40

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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.