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Finding the Fourth Proportional to 6,898.49, 9,495.87 and 6,012.75

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Solution

The fourth proportional to 6,898.49, 9,495.87 and 6,012.75 is: 8,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.49 : 9,495.87 = 6,012.75 : x
  2. Step 2: Convert to fraction form
    6,898.49/9,495.87 = 6,012.75/x
  3. Step 3: Cross multiply
    6,898.49x = 9,495.87 × 6,012.75
  4. Step 4: Simplify right side
    6,898.49x = 57,096,292.34
  5. Step 5: Solve for x
    x = 57,096,292.34/6,898.49
  6. Step 6: Final answer
    x = 8,276.64

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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.