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Finding the Fourth Proportional to 11,447.84, 15,797.84 and 6,412.04

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Solution

The fourth proportional to 11,447.84, 15,797.84 and 6,412.04 is: 8,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.84 : 15,797.84 = 6,412.04 : x
  2. Step 2: Convert to fraction form
    11,447.84/15,797.84 = 6,412.04/x
  3. Step 3: Cross multiply
    11,447.84x = 15,797.84 × 6,412.04
  4. Step 4: Simplify right side
    11,447.84x = 101,296,389.43
  5. Step 5: Solve for x
    x = 101,296,389.43/11,447.84
  6. Step 6: Final answer
    x = 8,848.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.