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Finding the Fourth Proportional to 6,146.84, 8,482.48 and 3,458.54

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Solution

The fourth proportional to 6,146.84, 8,482.48 and 3,458.54 is: 4,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.84 : 8,482.48 = 3,458.54 : x
  2. Step 2: Convert to fraction form
    6,146.84/8,482.48 = 3,458.54/x
  3. Step 3: Cross multiply
    6,146.84x = 8,482.48 × 3,458.54
  4. Step 4: Simplify right side
    6,146.84x = 29,336,973.61
  5. Step 5: Solve for x
    x = 29,336,973.61/6,146.84
  6. Step 6: Final answer
    x = 4,772.69

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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.