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Finding the Fourth Proportional to 7,625, 10,523.94 and 4,482.92

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Solution

The fourth proportional to 7,625, 10,523.94 and 4,482.92 is: 6,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625 : 10,523.94 = 4,482.92 : x
  2. Step 2: Convert to fraction form
    7,625/10,523.94 = 4,482.92/x
  3. Step 3: Cross multiply
    7,625x = 10,523.94 × 4,482.92
  4. Step 4: Simplify right side
    7,625x = 47,177,981.10
  5. Step 5: Solve for x
    x = 47,177,981.10/7,625
  6. Step 6: Final answer
    x = 6,187.28

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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.