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Finding the Fourth Proportional to 6,530.68, 9,797.10 and 3,066.04

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Solution

The fourth proportional to 6,530.68, 9,797.10 and 3,066.04 is: 4,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.68 : 9,797.10 = 3,066.04 : x
  2. Step 2: Convert to fraction form
    6,530.68/9,797.10 = 3,066.04/x
  3. Step 3: Cross multiply
    6,530.68x = 9,797.10 × 3,066.04
  4. Step 4: Simplify right side
    6,530.68x = 30,038,300.48
  5. Step 5: Solve for x
    x = 30,038,300.48/6,530.68
  6. Step 6: Final answer
    x = 4,599.57

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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.