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Finding the Fourth Proportional to 7,051.68, 9,726.48 and 5,185.44

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Solution

The fourth proportional to 7,051.68, 9,726.48 and 5,185.44 is: 7,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.68 : 9,726.48 = 5,185.44 : x
  2. Step 2: Convert to fraction form
    7,051.68/9,726.48 = 5,185.44/x
  3. Step 3: Cross multiply
    7,051.68x = 9,726.48 × 5,185.44
  4. Step 4: Simplify right side
    7,051.68x = 50,436,078.45
  5. Step 5: Solve for x
    x = 50,436,078.45/7,051.68
  6. Step 6: Final answer
    x = 7,152.35

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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.