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Finding the Fourth Proportional to 6,446.88, 9,670.32 and 3,523.68

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Solution

The fourth proportional to 6,446.88, 9,670.32 and 3,523.68 is: 5,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.88 : 9,670.32 = 3,523.68 : x
  2. Step 2: Convert to fraction form
    6,446.88/9,670.32 = 3,523.68/x
  3. Step 3: Cross multiply
    6,446.88x = 9,670.32 × 3,523.68
  4. Step 4: Simplify right side
    6,446.88x = 34,075,113.18
  5. Step 5: Solve for x
    x = 34,075,113.18/6,446.88
  6. Step 6: Final answer
    x = 5,285.52

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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.