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Finding the Fourth Proportional to 6,479.10, 9,700.83 and 4,914.48

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Solution

The fourth proportional to 6,479.10, 9,700.83 and 4,914.48 is: 7,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.10 : 9,700.83 = 4,914.48 : x
  2. Step 2: Convert to fraction form
    6,479.10/9,700.83 = 4,914.48/x
  3. Step 3: Cross multiply
    6,479.10x = 9,700.83 × 4,914.48
  4. Step 4: Simplify right side
    6,479.10x = 47,674,535.02
  5. Step 5: Solve for x
    x = 47,674,535.02/6,479.10
  6. Step 6: Final answer
    x = 7,358.20

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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.