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Finding the Fourth Proportional to 6,329.66, 9,494.22 and 1,946.93

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Solution

The fourth proportional to 6,329.66, 9,494.22 and 1,946.93 is: 2,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.66 : 9,494.22 = 1,946.93 : x
  2. Step 2: Convert to fraction form
    6,329.66/9,494.22 = 1,946.93/x
  3. Step 3: Cross multiply
    6,329.66x = 9,494.22 × 1,946.93
  4. Step 4: Simplify right side
    6,329.66x = 18,484,581.74
  5. Step 5: Solve for x
    x = 18,484,581.74/6,329.66
  6. Step 6: Final answer
    x = 2,920.31

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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.