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Finding the Fourth Proportional to 4,895.24, 7,342.82 and 1,774.51

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Solution

The fourth proportional to 4,895.24, 7,342.82 and 1,774.51 is: 2,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.24 : 7,342.82 = 1,774.51 : x
  2. Step 2: Convert to fraction form
    4,895.24/7,342.82 = 1,774.51/x
  3. Step 3: Cross multiply
    4,895.24x = 7,342.82 × 1,774.51
  4. Step 4: Simplify right side
    4,895.24x = 13,029,907.52
  5. Step 5: Solve for x
    x = 13,029,907.52/4,895.24
  6. Step 6: Final answer
    x = 2,661.75

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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.