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Finding the Fourth Proportional to 6,083.68, 8,386.86 and 4,314.64

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Solution

The fourth proportional to 6,083.68, 8,386.86 and 4,314.64 is: 5,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.68 : 8,386.86 = 4,314.64 : x
  2. Step 2: Convert to fraction form
    6,083.68/8,386.86 = 4,314.64/x
  3. Step 3: Cross multiply
    6,083.68x = 8,386.86 × 4,314.64
  4. Step 4: Simplify right side
    6,083.68x = 36,186,281.63
  5. Step 5: Solve for x
    x = 36,186,281.63/6,083.68
  6. Step 6: Final answer
    x = 5,948.09

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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.