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Finding the Fourth Proportional to 6,368.68, 9,542.94 and 4,911.40

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Solution

The fourth proportional to 6,368.68, 9,542.94 and 4,911.40 is: 7,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.68 : 9,542.94 = 4,911.40 : x
  2. Step 2: Convert to fraction form
    6,368.68/9,542.94 = 4,911.40/x
  3. Step 3: Cross multiply
    6,368.68x = 9,542.94 × 4,911.40
  4. Step 4: Simplify right side
    6,368.68x = 46,869,195.52
  5. Step 5: Solve for x
    x = 46,869,195.52/6,368.68
  6. Step 6: Final answer
    x = 7,359.33

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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.