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Finding the Fourth Proportional to 7,950.25, 11,925.38 and 2,478.25

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Solution

The fourth proportional to 7,950.25, 11,925.38 and 2,478.25 is: 3,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.25 : 11,925.38 = 2,478.25 : x
  2. Step 2: Convert to fraction form
    7,950.25/11,925.38 = 2,478.25/x
  3. Step 3: Cross multiply
    7,950.25x = 11,925.38 × 2,478.25
  4. Step 4: Simplify right side
    7,950.25x = 29,554,060.59
  5. Step 5: Solve for x
    x = 29,554,060.59/7,950.25
  6. Step 6: Final answer
    x = 3,717.38

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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.