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Finding the Fourth Proportional to 11,483.84, 17,229 and 7,106.60

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Solution

The fourth proportional to 11,483.84, 17,229 and 7,106.60 is: 10,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.84 : 17,229 = 7,106.60 : x
  2. Step 2: Convert to fraction form
    11,483.84/17,229 = 7,106.60/x
  3. Step 3: Cross multiply
    11,483.84x = 17,229 × 7,106.60
  4. Step 4: Simplify right side
    11,483.84x = 122,439,611.40
  5. Step 5: Solve for x
    x = 122,439,611.40/11,483.84
  6. Step 6: Final answer
    x = 10,661.91

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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.