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Finding the Fourth Proportional to 11,632.40, 17,448.60 and 6,448.40

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Solution

The fourth proportional to 11,632.40, 17,448.60 and 6,448.40 is: 9,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.40 : 17,448.60 = 6,448.40 : x
  2. Step 2: Convert to fraction form
    11,632.40/17,448.60 = 6,448.40/x
  3. Step 3: Cross multiply
    11,632.40x = 17,448.60 × 6,448.40
  4. Step 4: Simplify right side
    11,632.40x = 112,515,552.24
  5. Step 5: Solve for x
    x = 112,515,552.24/11,632.40
  6. Step 6: Final answer
    x = 9,672.60

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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.