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Finding the Fourth Proportional to 7,707.51, 11,576.93 and 6,803.55

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Solution

The fourth proportional to 7,707.51, 11,576.93 and 6,803.55 is: 10,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.51 : 11,576.93 = 6,803.55 : x
  2. Step 2: Convert to fraction form
    7,707.51/11,576.93 = 6,803.55/x
  3. Step 3: Cross multiply
    7,707.51x = 11,576.93 × 6,803.55
  4. Step 4: Simplify right side
    7,707.51x = 78,764,188.08
  5. Step 5: Solve for x
    x = 78,764,188.08/7,707.51
  6. Step 6: Final answer
    x = 10,219.15

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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.