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Finding the Fourth Proportional to 6,838.08, 9,412.44 and 4,946.60

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Solution

The fourth proportional to 6,838.08, 9,412.44 and 4,946.60 is: 6,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.08 : 9,412.44 = 4,946.60 : x
  2. Step 2: Convert to fraction form
    6,838.08/9,412.44 = 4,946.60/x
  3. Step 3: Cross multiply
    6,838.08x = 9,412.44 × 4,946.60
  4. Step 4: Simplify right side
    6,838.08x = 46,559,575.70
  5. Step 5: Solve for x
    x = 46,559,575.70/6,838.08
  6. Step 6: Final answer
    x = 6,808.87

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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.