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Finding the Fourth Proportional to 5,048.84, 6,964.98 and 4,349

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Solution

The fourth proportional to 5,048.84, 6,964.98 and 4,349 is: 5,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.84 : 6,964.98 = 4,349 : x
  2. Step 2: Convert to fraction form
    5,048.84/6,964.98 = 4,349/x
  3. Step 3: Cross multiply
    5,048.84x = 6,964.98 × 4,349
  4. Step 4: Simplify right side
    5,048.84x = 30,290,698.02
  5. Step 5: Solve for x
    x = 30,290,698.02/5,048.84
  6. Step 6: Final answer
    x = 5,999.54

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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.