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Finding the Fourth Proportional to 10,706.49, 16,055.49 and 4,128.48

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Solution

The fourth proportional to 10,706.49, 16,055.49 and 4,128.48 is: 6,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.49 : 16,055.49 = 4,128.48 : x
  2. Step 2: Convert to fraction form
    10,706.49/16,055.49 = 4,128.48/x
  3. Step 3: Cross multiply
    10,706.49x = 16,055.49 × 4,128.48
  4. Step 4: Simplify right side
    10,706.49x = 66,284,788.85
  5. Step 5: Solve for x
    x = 66,284,788.85/10,706.49
  6. Step 6: Final answer
    x = 6,191.08

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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.