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Finding the Fourth Proportional to 7,175.25, 10,762.88 and 3,071.25

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Solution

The fourth proportional to 7,175.25, 10,762.88 and 3,071.25 is: 4,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.25 : 10,762.88 = 3,071.25 : x
  2. Step 2: Convert to fraction form
    7,175.25/10,762.88 = 3,071.25/x
  3. Step 3: Cross multiply
    7,175.25x = 10,762.88 × 3,071.25
  4. Step 4: Simplify right side
    7,175.25x = 33,055,479.84
  5. Step 5: Solve for x
    x = 33,055,479.84/7,175.25
  6. Step 6: Final answer
    x = 4,606.88

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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.