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Finding the Fourth Proportional to 6,284.56, 8,665.56 and 5,146.68

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Solution

The fourth proportional to 6,284.56, 8,665.56 and 5,146.68 is: 7,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.56 : 8,665.56 = 5,146.68 : x
  2. Step 2: Convert to fraction form
    6,284.56/8,665.56 = 5,146.68/x
  3. Step 3: Cross multiply
    6,284.56x = 8,665.56 × 5,146.68
  4. Step 4: Simplify right side
    6,284.56x = 44,598,864.34
  5. Step 5: Solve for x
    x = 44,598,864.34/6,284.56
  6. Step 6: Final answer
    x = 7,096.58

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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.