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Finding the Fourth Proportional to 5,798.70, 7,996.16 and 4,962.17

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Solution

The fourth proportional to 5,798.70, 7,996.16 and 4,962.17 is: 6,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.70 : 7,996.16 = 4,962.17 : x
  2. Step 2: Convert to fraction form
    5,798.70/7,996.16 = 4,962.17/x
  3. Step 3: Cross multiply
    5,798.70x = 7,996.16 × 4,962.17
  4. Step 4: Simplify right side
    5,798.70x = 39,678,240.48
  5. Step 5: Solve for x
    x = 39,678,240.48/5,798.70
  6. Step 6: Final answer
    x = 6,842.61

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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.