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Finding the Fourth Proportional to 4,927.86, 7,392.87 and 1,640.88

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Solution

The fourth proportional to 4,927.86, 7,392.87 and 1,640.88 is: 2,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.86 : 7,392.87 = 1,640.88 : x
  2. Step 2: Convert to fraction form
    4,927.86/7,392.87 = 1,640.88/x
  3. Step 3: Cross multiply
    4,927.86x = 7,392.87 × 1,640.88
  4. Step 4: Simplify right side
    4,927.86x = 12,130,812.53
  5. Step 5: Solve for x
    x = 12,130,812.53/4,927.86
  6. Step 6: Final answer
    x = 2,461.68

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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.