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Finding the Fourth Proportional to 6,966.68, 9,585.14 and 6,084.60

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Solution

The fourth proportional to 6,966.68, 9,585.14 and 6,084.60 is: 8,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.68 : 9,585.14 = 6,084.60 : x
  2. Step 2: Convert to fraction form
    6,966.68/9,585.14 = 6,084.60/x
  3. Step 3: Cross multiply
    6,966.68x = 9,585.14 × 6,084.60
  4. Step 4: Simplify right side
    6,966.68x = 58,321,742.84
  5. Step 5: Solve for x
    x = 58,321,742.84/6,966.68
  6. Step 6: Final answer
    x = 8,371.53

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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.