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Finding the Fourth Proportional to 6,465.30, 9,679.05 and 4,829.10

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Solution

The fourth proportional to 6,465.30, 9,679.05 and 4,829.10 is: 7,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.30 : 9,679.05 = 4,829.10 : x
  2. Step 2: Convert to fraction form
    6,465.30/9,679.05 = 4,829.10/x
  3. Step 3: Cross multiply
    6,465.30x = 9,679.05 × 4,829.10
  4. Step 4: Simplify right side
    6,465.30x = 46,741,100.36
  5. Step 5: Solve for x
    x = 46,741,100.36/6,465.30
  6. Step 6: Final answer
    x = 7,229.53

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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.