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Finding the Fourth Proportional to 6,948.55, 9,568.78 and 6,039.66

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Solution

The fourth proportional to 6,948.55, 9,568.78 and 6,039.66 is: 8,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.55 : 9,568.78 = 6,039.66 : x
  2. Step 2: Convert to fraction form
    6,948.55/9,568.78 = 6,039.66/x
  3. Step 3: Cross multiply
    6,948.55x = 9,568.78 × 6,039.66
  4. Step 4: Simplify right side
    6,948.55x = 57,792,177.81
  5. Step 5: Solve for x
    x = 57,792,177.81/6,948.55
  6. Step 6: Final answer
    x = 8,317.16

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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.