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Finding the Fourth Proportional to 9,757.53, 14,625.79 and 4,213.48

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Solution

The fourth proportional to 9,757.53, 14,625.79 and 4,213.48 is: 6,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.53 : 14,625.79 = 4,213.48 : x
  2. Step 2: Convert to fraction form
    9,757.53/14,625.79 = 4,213.48/x
  3. Step 3: Cross multiply
    9,757.53x = 14,625.79 × 4,213.48
  4. Step 4: Simplify right side
    9,757.53x = 61,625,484.18
  5. Step 5: Solve for x
    x = 61,625,484.18/9,757.53
  6. Step 6: Final answer
    x = 6,315.69

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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.