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Finding the Fourth Proportional to 6,066.84, 9,100.26 and 1,684.30

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Solution

The fourth proportional to 6,066.84, 9,100.26 and 1,684.30 is: 2,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.84 : 9,100.26 = 1,684.30 : x
  2. Step 2: Convert to fraction form
    6,066.84/9,100.26 = 1,684.30/x
  3. Step 3: Cross multiply
    6,066.84x = 9,100.26 × 1,684.30
  4. Step 4: Simplify right side
    6,066.84x = 15,327,567.92
  5. Step 5: Solve for x
    x = 15,327,567.92/6,066.84
  6. Step 6: Final answer
    x = 2,526.45

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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.