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Finding the Fourth Proportional to 6,707.14, 10,060.71 and 2,090.50

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Solution

The fourth proportional to 6,707.14, 10,060.71 and 2,090.50 is: 3,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.14 : 10,060.71 = 2,090.50 : x
  2. Step 2: Convert to fraction form
    6,707.14/10,060.71 = 2,090.50/x
  3. Step 3: Cross multiply
    6,707.14x = 10,060.71 × 2,090.50
  4. Step 4: Simplify right side
    6,707.14x = 21,031,914.26
  5. Step 5: Solve for x
    x = 21,031,914.26/6,707.14
  6. Step 6: Final answer
    x = 3,135.75

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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.