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Finding the Fourth Proportional to 6,898.84, 10,338.94 and 4,946.74

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Solution

The fourth proportional to 6,898.84, 10,338.94 and 4,946.74 is: 7,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.84 : 10,338.94 = 4,946.74 : x
  2. Step 2: Convert to fraction form
    6,898.84/10,338.94 = 4,946.74/x
  3. Step 3: Cross multiply
    6,898.84x = 10,338.94 × 4,946.74
  4. Step 4: Simplify right side
    6,898.84x = 51,144,048.06
  5. Step 5: Solve for x
    x = 51,144,048.06/6,898.84
  6. Step 6: Final answer
    x = 7,413.43

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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.