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Finding the Fourth Proportional to 11,684.88, 17,483.40 and 6,987.60

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Solution

The fourth proportional to 11,684.88, 17,483.40 and 6,987.60 is: 10,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.88 : 17,483.40 = 6,987.60 : x
  2. Step 2: Convert to fraction form
    11,684.88/17,483.40 = 6,987.60/x
  3. Step 3: Cross multiply
    11,684.88x = 17,483.40 × 6,987.60
  4. Step 4: Simplify right side
    11,684.88x = 122,167,005.84
  5. Step 5: Solve for x
    x = 122,167,005.84/11,684.88
  6. Step 6: Final answer
    x = 10,455.14

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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.