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Finding the Fourth Proportional to 7,182.47, 9,899.52 and 6,183.74

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Solution

The fourth proportional to 7,182.47, 9,899.52 and 6,183.74 is: 8,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.47 : 9,899.52 = 6,183.74 : x
  2. Step 2: Convert to fraction form
    7,182.47/9,899.52 = 6,183.74/x
  3. Step 3: Cross multiply
    7,182.47x = 9,899.52 × 6,183.74
  4. Step 4: Simplify right side
    7,182.47x = 61,216,059.36
  5. Step 5: Solve for x
    x = 61,216,059.36/7,182.47
  6. Step 6: Final answer
    x = 8,522.98

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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.