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Finding the Fourth Proportional to 6,441.84, 9,663.48 and 2,931.84

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Solution

The fourth proportional to 6,441.84, 9,663.48 and 2,931.84 is: 4,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.84 : 9,663.48 = 2,931.84 : x
  2. Step 2: Convert to fraction form
    6,441.84/9,663.48 = 2,931.84/x
  3. Step 3: Cross multiply
    6,441.84x = 9,663.48 × 2,931.84
  4. Step 4: Simplify right side
    6,441.84x = 28,331,777.20
  5. Step 5: Solve for x
    x = 28,331,777.20/6,441.84
  6. Step 6: Final answer
    x = 4,398.09

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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.