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Finding the Fourth Proportional to 6,146.52, 8,482.97 and 3,457.87

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Solution

The fourth proportional to 6,146.52, 8,482.97 and 3,457.87 is: 4,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.52 : 8,482.97 = 3,457.87 : x
  2. Step 2: Convert to fraction form
    6,146.52/8,482.97 = 3,457.87/x
  3. Step 3: Cross multiply
    6,146.52x = 8,482.97 × 3,457.87
  4. Step 4: Simplify right side
    6,146.52x = 29,333,007.47
  5. Step 5: Solve for x
    x = 29,333,007.47/6,146.52
  6. Step 6: Final answer
    x = 4,772.30

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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.