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Finding the Fourth Proportional to 10,706.90, 16,058.90 and 3,316.46

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Solution

The fourth proportional to 10,706.90, 16,058.90 and 3,316.46 is: 4,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.90 : 16,058.90 = 3,316.46 : x
  2. Step 2: Convert to fraction form
    10,706.90/16,058.90 = 3,316.46/x
  3. Step 3: Cross multiply
    10,706.90x = 16,058.90 × 3,316.46
  4. Step 4: Simplify right side
    10,706.90x = 53,258,627.49
  5. Step 5: Solve for x
    x = 53,258,627.49/10,706.90
  6. Step 6: Final answer
    x = 4,974.24

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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.