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Finding the Fourth Proportional to 7,506.75, 10,361.75 and 4,712.25

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Solution

The fourth proportional to 7,506.75, 10,361.75 and 4,712.25 is: 6,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.75 : 10,361.75 = 4,712.25 : x
  2. Step 2: Convert to fraction form
    7,506.75/10,361.75 = 4,712.25/x
  3. Step 3: Cross multiply
    7,506.75x = 10,361.75 × 4,712.25
  4. Step 4: Simplify right side
    7,506.75x = 48,827,132.88
  5. Step 5: Solve for x
    x = 48,827,132.88/7,506.75
  6. Step 6: Final answer
    x = 6,504.43

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Double scale
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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.