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Finding the Fourth Proportional to 9,846.88, 13,584.64 and 6,491.24

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Solution

The fourth proportional to 9,846.88, 13,584.64 and 6,491.24 is: 8,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.88 : 13,584.64 = 6,491.24 : x
  2. Step 2: Convert to fraction form
    9,846.88/13,584.64 = 6,491.24/x
  3. Step 3: Cross multiply
    9,846.88x = 13,584.64 × 6,491.24
  4. Step 4: Simplify right side
    9,846.88x = 88,181,158.55
  5. Step 5: Solve for x
    x = 88,181,158.55/9,846.88
  6. Step 6: Final answer
    x = 8,955.24

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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.