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Finding the Fourth Proportional to 4,346, 6,463.09 and 4,207.61

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Solution

The fourth proportional to 4,346, 6,463.09 and 4,207.61 is: 6,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346 : 6,463.09 = 4,207.61 : x
  2. Step 2: Convert to fraction form
    4,346/6,463.09 = 4,207.61/x
  3. Step 3: Cross multiply
    4,346x = 6,463.09 × 4,207.61
  4. Step 4: Simplify right side
    4,346x = 27,194,129.80
  5. Step 5: Solve for x
    x = 27,194,129.80/4,346
  6. Step 6: Final answer
    x = 6,257.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.