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Finding the Fourth Proportional to 9,074.24, 13,622.88 and 7,714.88

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Solution

The fourth proportional to 9,074.24, 13,622.88 and 7,714.88 is: 11,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.24 : 13,622.88 = 7,714.88 : x
  2. Step 2: Convert to fraction form
    9,074.24/13,622.88 = 7,714.88/x
  3. Step 3: Cross multiply
    9,074.24x = 13,622.88 × 7,714.88
  4. Step 4: Simplify right side
    9,074.24x = 105,098,884.45
  5. Step 5: Solve for x
    x = 105,098,884.45/9,074.24
  6. Step 6: Final answer
    x = 11,582.11

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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.