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Finding the Fourth Proportional to 6,900.68, 9,522.96 and 3,756.86

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Solution

The fourth proportional to 6,900.68, 9,522.96 and 3,756.86 is: 5,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.68 : 9,522.96 = 3,756.86 : x
  2. Step 2: Convert to fraction form
    6,900.68/9,522.96 = 3,756.86/x
  3. Step 3: Cross multiply
    6,900.68x = 9,522.96 × 3,756.86
  4. Step 4: Simplify right side
    6,900.68x = 35,776,427.51
  5. Step 5: Solve for x
    x = 35,776,427.51/6,900.68
  6. Step 6: Final answer
    x = 5,184.48

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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.