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Finding the Fourth Proportional to 7,750.98, 10,695.91 and 4,214.17

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Solution

The fourth proportional to 7,750.98, 10,695.91 and 4,214.17 is: 5,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.98 : 10,695.91 = 4,214.17 : x
  2. Step 2: Convert to fraction form
    7,750.98/10,695.91 = 4,214.17/x
  3. Step 3: Cross multiply
    7,750.98x = 10,695.91 × 4,214.17
  4. Step 4: Simplify right side
    7,750.98x = 45,074,383.04
  5. Step 5: Solve for x
    x = 45,074,383.04/7,750.98
  6. Step 6: Final answer
    x = 5,815.31

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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.