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Finding the Fourth Proportional to 7,706.68, 11,551.54 and 3,025.28

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Solution

The fourth proportional to 7,706.68, 11,551.54 and 3,025.28 is: 4,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.68 : 11,551.54 = 3,025.28 : x
  2. Step 2: Convert to fraction form
    7,706.68/11,551.54 = 3,025.28/x
  3. Step 3: Cross multiply
    7,706.68x = 11,551.54 × 3,025.28
  4. Step 4: Simplify right side
    7,706.68x = 34,946,642.93
  5. Step 5: Solve for x
    x = 34,946,642.93/7,706.68
  6. Step 6: Final answer
    x = 4,534.59

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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.