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Finding the Fourth Proportional to 7,764.06, 10,716.06 and 5,111.70

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Solution

The fourth proportional to 7,764.06, 10,716.06 and 5,111.70 is: 7,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.06 : 10,716.06 = 5,111.70 : x
  2. Step 2: Convert to fraction form
    7,764.06/10,716.06 = 5,111.70/x
  3. Step 3: Cross multiply
    7,764.06x = 10,716.06 × 5,111.70
  4. Step 4: Simplify right side
    7,764.06x = 54,777,283.90
  5. Step 5: Solve for x
    x = 54,777,283.90/7,764.06
  6. Step 6: Final answer
    x = 7,055.24

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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.