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Finding the Fourth Proportional to 7,756.44, 11,546.94 and 7,710.31

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Solution

The fourth proportional to 7,756.44, 11,546.94 and 7,710.31 is: 11,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.44 : 11,546.94 = 7,710.31 : x
  2. Step 2: Convert to fraction form
    7,756.44/11,546.94 = 7,710.31/x
  3. Step 3: Cross multiply
    7,756.44x = 11,546.94 × 7,710.31
  4. Step 4: Simplify right side
    7,756.44x = 89,030,448.40
  5. Step 5: Solve for x
    x = 89,030,448.40/7,756.44
  6. Step 6: Final answer
    x = 11,478.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.