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Finding the Fourth Proportional to 5,159.70, 7,733.07 and 4,744.98

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Solution

The fourth proportional to 5,159.70, 7,733.07 and 4,744.98 is: 7,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.70 : 7,733.07 = 4,744.98 : x
  2. Step 2: Convert to fraction form
    5,159.70/7,733.07 = 4,744.98/x
  3. Step 3: Cross multiply
    5,159.70x = 7,733.07 × 4,744.98
  4. Step 4: Simplify right side
    5,159.70x = 36,693,262.49
  5. Step 5: Solve for x
    x = 36,693,262.49/5,159.70
  6. Step 6: Final answer
    x = 7,111.51

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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.