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Finding the Fourth Proportional to 6,984.56, 10,483.73 and 5,130.47

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Solution

The fourth proportional to 6,984.56, 10,483.73 and 5,130.47 is: 7,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.56 : 10,483.73 = 5,130.47 : x
  2. Step 2: Convert to fraction form
    6,984.56/10,483.73 = 5,130.47/x
  3. Step 3: Cross multiply
    6,984.56x = 10,483.73 × 5,130.47
  4. Step 4: Simplify right side
    6,984.56x = 53,786,475.64
  5. Step 5: Solve for x
    x = 53,786,475.64/6,984.56
  6. Step 6: Final answer
    x = 7,700.77

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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.