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Finding the Fourth Proportional to 9,625.70, 14,449.35 and 7,444.10

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Solution

The fourth proportional to 9,625.70, 14,449.35 and 7,444.10 is: 11,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.70 : 14,449.35 = 7,444.10 : x
  2. Step 2: Convert to fraction form
    9,625.70/14,449.35 = 7,444.10/x
  3. Step 3: Cross multiply
    9,625.70x = 14,449.35 × 7,444.10
  4. Step 4: Simplify right side
    9,625.70x = 107,562,406.34
  5. Step 5: Solve for x
    x = 107,562,406.34/9,625.70
  6. Step 6: Final answer
    x = 11,174.50

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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.