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Finding the Fourth Proportional to 6,539.62, 9,029 and 4,417.56

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Solution

The fourth proportional to 6,539.62, 9,029 and 4,417.56 is: 6,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.62 : 9,029 = 4,417.56 : x
  2. Step 2: Convert to fraction form
    6,539.62/9,029 = 4,417.56/x
  3. Step 3: Cross multiply
    6,539.62x = 9,029 × 4,417.56
  4. Step 4: Simplify right side
    6,539.62x = 39,886,149.24
  5. Step 5: Solve for x
    x = 39,886,149.24/6,539.62
  6. Step 6: Final answer
    x = 6,099.15

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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.