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Finding the Fourth Proportional to 6,642.64, 9,950.99 and 5,174.92

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Solution

The fourth proportional to 6,642.64, 9,950.99 and 5,174.92 is: 7,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.64 : 9,950.99 = 5,174.92 : x
  2. Step 2: Convert to fraction form
    6,642.64/9,950.99 = 5,174.92/x
  3. Step 3: Cross multiply
    6,642.64x = 9,950.99 × 5,174.92
  4. Step 4: Simplify right side
    6,642.64x = 51,495,577.17
  5. Step 5: Solve for x
    x = 51,495,577.17/6,642.64
  6. Step 6: Final answer
    x = 7,752.28

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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.