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Finding the Fourth Proportional to 6,877.40, 9,469.23 and 6,069.02

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Solution

The fourth proportional to 6,877.40, 9,469.23 and 6,069.02 is: 8,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.40 : 9,469.23 = 6,069.02 : x
  2. Step 2: Convert to fraction form
    6,877.40/9,469.23 = 6,069.02/x
  3. Step 3: Cross multiply
    6,877.40x = 9,469.23 × 6,069.02
  4. Step 4: Simplify right side
    6,877.40x = 57,468,946.25
  5. Step 5: Solve for x
    x = 57,468,946.25/6,877.40
  6. Step 6: Final answer
    x = 8,356.20

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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.