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Finding the Fourth Proportional to 6,869.21, 10,295.78 and 6,090.71

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Solution

The fourth proportional to 6,869.21, 10,295.78 and 6,090.71 is: 9,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.21 : 10,295.78 = 6,090.71 : x
  2. Step 2: Convert to fraction form
    6,869.21/10,295.78 = 6,090.71/x
  3. Step 3: Cross multiply
    6,869.21x = 10,295.78 × 6,090.71
  4. Step 4: Simplify right side
    6,869.21x = 62,708,528.27
  5. Step 5: Solve for x
    x = 62,708,528.27/6,869.21
  6. Step 6: Final answer
    x = 9,128.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.