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Finding the Fourth Proportional to 10,106.70, 13,941.63 and 5,914.14

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Solution

The fourth proportional to 10,106.70, 13,941.63 and 5,914.14 is: 8,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.70 : 13,941.63 = 5,914.14 : x
  2. Step 2: Convert to fraction form
    10,106.70/13,941.63 = 5,914.14/x
  3. Step 3: Cross multiply
    10,106.70x = 13,941.63 × 5,914.14
  4. Step 4: Simplify right side
    10,106.70x = 82,452,751.65
  5. Step 5: Solve for x
    x = 82,452,751.65/10,106.70
  6. Step 6: Final answer
    x = 8,158.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.