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Finding the Fourth Proportional to 6,349.14, 8,770.77 and 4,590

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Solution

The fourth proportional to 6,349.14, 8,770.77 and 4,590 is: 6,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.14 : 8,770.77 = 4,590 : x
  2. Step 2: Convert to fraction form
    6,349.14/8,770.77 = 4,590/x
  3. Step 3: Cross multiply
    6,349.14x = 8,770.77 × 4,590
  4. Step 4: Simplify right side
    6,349.14x = 40,257,834.30
  5. Step 5: Solve for x
    x = 40,257,834.30/6,349.14
  6. Step 6: Final answer
    x = 6,340.68

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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.