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Finding the Fourth Proportional to 7,710.00, 11,536.31 and 6,768.50

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Solution

The fourth proportional to 7,710.00, 11,536.31 and 6,768.50 is: 10,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.00 : 11,536.31 = 6,768.50 : x
  2. Step 2: Convert to fraction form
    7,710.00/11,536.31 = 6,768.50/x
  3. Step 3: Cross multiply
    7,710.00x = 11,536.31 × 6,768.50
  4. Step 4: Simplify right side
    7,710.00x = 78,083,509.23
  5. Step 5: Solve for x
    x = 78,083,509.23/7,710.00
  6. Step 6: Final answer
    x = 10,127.57

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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.