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Finding the Fourth Proportional to 7,646.93, 11,460.71 and 4,361.87

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Solution

The fourth proportional to 7,646.93, 11,460.71 and 4,361.87 is: 6,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.93 : 11,460.71 = 4,361.87 : x
  2. Step 2: Convert to fraction form
    7,646.93/11,460.71 = 4,361.87/x
  3. Step 3: Cross multiply
    7,646.93x = 11,460.71 × 4,361.87
  4. Step 4: Simplify right side
    7,646.93x = 49,990,069.82
  5. Step 5: Solve for x
    x = 49,990,069.82/7,646.93
  6. Step 6: Final answer
    x = 6,537.28

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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.