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Finding the Fourth Proportional to 6,857.74, 9,465.98 and 4,874.06

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Solution

The fourth proportional to 6,857.74, 9,465.98 and 4,874.06 is: 6,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.74 : 9,465.98 = 4,874.06 : x
  2. Step 2: Convert to fraction form
    6,857.74/9,465.98 = 4,874.06/x
  3. Step 3: Cross multiply
    6,857.74x = 9,465.98 × 4,874.06
  4. Step 4: Simplify right side
    6,857.74x = 46,137,754.48
  5. Step 5: Solve for x
    x = 46,137,754.48/6,857.74
  6. Step 6: Final answer
    x = 6,727.84

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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.