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Finding the Fourth Proportional to 6,184.53, 9,277.83 and 3,064.68

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Solution

The fourth proportional to 6,184.53, 9,277.83 and 3,064.68 is: 4,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.53 : 9,277.83 = 3,064.68 : x
  2. Step 2: Convert to fraction form
    6,184.53/9,277.83 = 3,064.68/x
  3. Step 3: Cross multiply
    6,184.53x = 9,277.83 × 3,064.68
  4. Step 4: Simplify right side
    6,184.53x = 28,433,580.04
  5. Step 5: Solve for x
    x = 28,433,580.04/6,184.53
  6. Step 6: Final answer
    x = 4,597.53

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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.