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Finding the Fourth Proportional to 7,701.76, 11,552.37 and 2,507.50

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Solution

The fourth proportional to 7,701.76, 11,552.37 and 2,507.50 is: 3,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.76 : 11,552.37 = 2,507.50 : x
  2. Step 2: Convert to fraction form
    7,701.76/11,552.37 = 2,507.50/x
  3. Step 3: Cross multiply
    7,701.76x = 11,552.37 × 2,507.50
  4. Step 4: Simplify right side
    7,701.76x = 28,967,567.78
  5. Step 5: Solve for x
    x = 28,967,567.78/7,701.76
  6. Step 6: Final answer
    x = 3,761.16

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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.