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Finding the Fourth Proportional to 6,846.80, 9,448.59 and 3,702.99

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Solution

The fourth proportional to 6,846.80, 9,448.59 and 3,702.99 is: 5,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.80 : 9,448.59 = 3,702.99 : x
  2. Step 2: Convert to fraction form
    6,846.80/9,448.59 = 3,702.99/x
  3. Step 3: Cross multiply
    6,846.80x = 9,448.59 × 3,702.99
  4. Step 4: Simplify right side
    6,846.80x = 34,988,048.17
  5. Step 5: Solve for x
    x = 34,988,048.17/6,846.80
  6. Step 6: Final answer
    x = 5,110.13

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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.