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Finding the Fourth Proportional to 7,506.66, 11,256.16 and 2,507.23

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Solution

The fourth proportional to 7,506.66, 11,256.16 and 2,507.23 is: 3,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.66 : 11,256.16 = 2,507.23 : x
  2. Step 2: Convert to fraction form
    7,506.66/11,256.16 = 2,507.23/x
  3. Step 3: Cross multiply
    7,506.66x = 11,256.16 × 2,507.23
  4. Step 4: Simplify right side
    7,506.66x = 28,221,761.12
  5. Step 5: Solve for x
    x = 28,221,761.12/7,506.66
  6. Step 6: Final answer
    x = 3,759.56

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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.