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Finding the Fourth Proportional to 6,483.38, 9,706.37 and 4,914.20

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Solution

The fourth proportional to 6,483.38, 9,706.37 and 4,914.20 is: 7,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.38 : 9,706.37 = 4,914.20 : x
  2. Step 2: Convert to fraction form
    6,483.38/9,706.37 = 4,914.20/x
  3. Step 3: Cross multiply
    6,483.38x = 9,706.37 × 4,914.20
  4. Step 4: Simplify right side
    6,483.38x = 47,699,043.15
  5. Step 5: Solve for x
    x = 47,699,043.15/6,483.38
  6. Step 6: Final answer
    x = 7,357.13

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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.