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Finding the Fourth Proportional to 7,617.26, 10,509.90 and 4,472.84

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Solution

The fourth proportional to 7,617.26, 10,509.90 and 4,472.84 is: 6,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.26 : 10,509.90 = 4,472.84 : x
  2. Step 2: Convert to fraction form
    7,617.26/10,509.90 = 4,472.84/x
  3. Step 3: Cross multiply
    7,617.26x = 10,509.90 × 4,472.84
  4. Step 4: Simplify right side
    7,617.26x = 47,009,101.12
  5. Step 5: Solve for x
    x = 47,009,101.12/7,617.26
  6. Step 6: Final answer
    x = 6,171.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.