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Finding the Fourth Proportional to 7,752.26, 10,698.10 and 4,215.44

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Solution

The fourth proportional to 7,752.26, 10,698.10 and 4,215.44 is: 5,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.26 : 10,698.10 = 4,215.44 : x
  2. Step 2: Convert to fraction form
    7,752.26/10,698.10 = 4,215.44/x
  3. Step 3: Cross multiply
    7,752.26x = 10,698.10 × 4,215.44
  4. Step 4: Simplify right side
    7,752.26x = 45,097,134.63
  5. Step 5: Solve for x
    x = 45,097,134.63/7,752.26
  6. Step 6: Final answer
    x = 5,817.29

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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.