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Finding the Fourth Proportional to 6,752.25, 10,116.07 and 4,977.70

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Solution

The fourth proportional to 6,752.25, 10,116.07 and 4,977.70 is: 7,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.25 : 10,116.07 = 4,977.70 : x
  2. Step 2: Convert to fraction form
    6,752.25/10,116.07 = 4,977.70/x
  3. Step 3: Cross multiply
    6,752.25x = 10,116.07 × 4,977.70
  4. Step 4: Simplify right side
    6,752.25x = 50,354,798.31
  5. Step 5: Solve for x
    x = 50,354,798.31/6,752.25
  6. Step 6: Final answer
    x = 7,457.49

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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.