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Finding the Fourth Proportional to 9,205.64, 13,810.24 and 2,967.28

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Solution

The fourth proportional to 9,205.64, 13,810.24 and 2,967.28 is: 4,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.64 : 13,810.24 = 2,967.28 : x
  2. Step 2: Convert to fraction form
    9,205.64/13,810.24 = 2,967.28/x
  3. Step 3: Cross multiply
    9,205.64x = 13,810.24 × 2,967.28
  4. Step 4: Simplify right side
    9,205.64x = 40,978,848.95
  5. Step 5: Solve for x
    x = 40,978,848.95/9,205.64
  6. Step 6: Final answer
    x = 4,451.49

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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.