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Finding the Fourth Proportional to 6,465.86, 8,910.37 and 4,599.62

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Solution

The fourth proportional to 6,465.86, 8,910.37 and 4,599.62 is: 6,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.86 : 8,910.37 = 4,599.62 : x
  2. Step 2: Convert to fraction form
    6,465.86/8,910.37 = 4,599.62/x
  3. Step 3: Cross multiply
    6,465.86x = 8,910.37 × 4,599.62
  4. Step 4: Simplify right side
    6,465.86x = 40,984,316.06
  5. Step 5: Solve for x
    x = 40,984,316.06/6,465.86
  6. Step 6: Final answer
    x = 6,338.57

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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.