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Finding the Fourth Proportional to 6,180.40, 9,264.08 and 4,448.08

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Solution

The fourth proportional to 6,180.40, 9,264.08 and 4,448.08 is: 6,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.40 : 9,264.08 = 4,448.08 : x
  2. Step 2: Convert to fraction form
    6,180.40/9,264.08 = 4,448.08/x
  3. Step 3: Cross multiply
    6,180.40x = 9,264.08 × 4,448.08
  4. Step 4: Simplify right side
    6,180.40x = 41,207,368.97
  5. Step 5: Solve for x
    x = 41,207,368.97/6,180.40
  6. Step 6: Final answer
    x = 6,667.43

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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.