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Finding the Fourth Proportional to 9,263.70, 13,878.13 and 4,578.26

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Solution

The fourth proportional to 9,263.70, 13,878.13 and 4,578.26 is: 6,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.70 : 13,878.13 = 4,578.26 : x
  2. Step 2: Convert to fraction form
    9,263.70/13,878.13 = 4,578.26/x
  3. Step 3: Cross multiply
    9,263.70x = 13,878.13 × 4,578.26
  4. Step 4: Simplify right side
    9,263.70x = 63,537,687.45
  5. Step 5: Solve for x
    x = 63,537,687.45/9,263.70
  6. Step 6: Final answer
    x = 6,858.78

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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.