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Finding the Fourth Proportional to 9,584.66, 13,226.64 and 5,392.88

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Solution

The fourth proportional to 9,584.66, 13,226.64 and 5,392.88 is: 7,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.66 : 13,226.64 = 5,392.88 : x
  2. Step 2: Convert to fraction form
    9,584.66/13,226.64 = 5,392.88/x
  3. Step 3: Cross multiply
    9,584.66x = 13,226.64 × 5,392.88
  4. Step 4: Simplify right side
    9,584.66x = 71,329,682.32
  5. Step 5: Solve for x
    x = 71,329,682.32/9,584.66
  6. Step 6: Final answer
    x = 7,442.07

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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.