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Finding the Fourth Proportional to 6,101, 8,419.74 and 3,448.34

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Solution

The fourth proportional to 6,101, 8,419.74 and 3,448.34 is: 4,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101 : 8,419.74 = 3,448.34 : x
  2. Step 2: Convert to fraction form
    6,101/8,419.74 = 3,448.34/x
  3. Step 3: Cross multiply
    6,101x = 8,419.74 × 3,448.34
  4. Step 4: Simplify right side
    6,101x = 29,034,126.23
  5. Step 5: Solve for x
    x = 29,034,126.23/6,101
  6. Step 6: Final answer
    x = 4,758.91

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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.