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Finding the Fourth Proportional to 9,891.62, 13,650.36 and 5,415.28

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Solution

The fourth proportional to 9,891.62, 13,650.36 and 5,415.28 is: 7,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.62 : 13,650.36 = 5,415.28 : x
  2. Step 2: Convert to fraction form
    9,891.62/13,650.36 = 5,415.28/x
  3. Step 3: Cross multiply
    9,891.62x = 13,650.36 × 5,415.28
  4. Step 4: Simplify right side
    9,891.62x = 73,920,521.50
  5. Step 5: Solve for x
    x = 73,920,521.50/9,891.62
  6. Step 6: Final answer
    x = 7,473.05

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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.