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Finding the Fourth Proportional to 8,182.17, 11,290.17 and 4,596.99

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Solution

The fourth proportional to 8,182.17, 11,290.17 and 4,596.99 is: 6,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.17 : 11,290.17 = 4,596.99 : x
  2. Step 2: Convert to fraction form
    8,182.17/11,290.17 = 4,596.99/x
  3. Step 3: Cross multiply
    8,182.17x = 11,290.17 × 4,596.99
  4. Step 4: Simplify right side
    8,182.17x = 51,900,798.59
  5. Step 5: Solve for x
    x = 51,900,798.59/8,182.17
  6. Step 6: Final answer
    x = 6,343.16

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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.