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Finding the Fourth Proportional to 7,760.62, 11,640.12 and 4,598.38

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Solution

The fourth proportional to 7,760.62, 11,640.12 and 4,598.38 is: 6,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.62 : 11,640.12 = 4,598.38 : x
  2. Step 2: Convert to fraction form
    7,760.62/11,640.12 = 4,598.38/x
  3. Step 3: Cross multiply
    7,760.62x = 11,640.12 × 4,598.38
  4. Step 4: Simplify right side
    7,760.62x = 53,525,695.01
  5. Step 5: Solve for x
    x = 53,525,695.01/7,760.62
  6. Step 6: Final answer
    x = 6,897.09

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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.