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Finding the Fourth Proportional to 7,040.64, 9,714.24 and 4,244.16

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Solution

The fourth proportional to 7,040.64, 9,714.24 and 4,244.16 is: 5,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.64 : 9,714.24 = 4,244.16 : x
  2. Step 2: Convert to fraction form
    7,040.64/9,714.24 = 4,244.16/x
  3. Step 3: Cross multiply
    7,040.64x = 9,714.24 × 4,244.16
  4. Step 4: Simplify right side
    7,040.64x = 41,228,788.84
  5. Step 5: Solve for x
    x = 41,228,788.84/7,040.64
  6. Step 6: Final answer
    x = 5,855.83

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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.