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Finding the Fourth Proportional to 4,846.86, 7,262.16 and 4,664.58

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Solution

The fourth proportional to 4,846.86, 7,262.16 and 4,664.58 is: 6,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.86 : 7,262.16 = 4,664.58 : x
  2. Step 2: Convert to fraction form
    4,846.86/7,262.16 = 4,664.58/x
  3. Step 3: Cross multiply
    4,846.86x = 7,262.16 × 4,664.58
  4. Step 4: Simplify right side
    4,846.86x = 33,874,926.29
  5. Step 5: Solve for x
    x = 33,874,926.29/4,846.86
  6. Step 6: Final answer
    x = 6,989.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.