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Finding the Fourth Proportional to 7,687.58, 11,526.62 and 3,002.13

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Solution

The fourth proportional to 7,687.58, 11,526.62 and 3,002.13 is: 4,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.58 : 11,526.62 = 3,002.13 : x
  2. Step 2: Convert to fraction form
    7,687.58/11,526.62 = 3,002.13/x
  3. Step 3: Cross multiply
    7,687.58x = 11,526.62 × 3,002.13
  4. Step 4: Simplify right side
    7,687.58x = 34,604,396.69
  5. Step 5: Solve for x
    x = 34,604,396.69/7,687.58
  6. Step 6: Final answer
    x = 4,501.34

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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.