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Finding the Fourth Proportional to 9,232.66, 13,782.47 and 8,576.56

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Solution

The fourth proportional to 9,232.66, 13,782.47 and 8,576.56 is: 12,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.66 : 13,782.47 = 8,576.56 : x
  2. Step 2: Convert to fraction form
    9,232.66/13,782.47 = 8,576.56/x
  3. Step 3: Cross multiply
    9,232.66x = 13,782.47 × 8,576.56
  4. Step 4: Simplify right side
    9,232.66x = 118,206,180.90
  5. Step 5: Solve for x
    x = 118,206,180.90/9,232.66
  6. Step 6: Final answer
    x = 12,803.05

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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.