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Finding the Fourth Proportional to 6,898.69, 10,328.05 and 6,186.43

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Solution

The fourth proportional to 6,898.69, 10,328.05 and 6,186.43 is: 9,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.69 : 10,328.05 = 6,186.43 : x
  2. Step 2: Convert to fraction form
    6,898.69/10,328.05 = 6,186.43/x
  3. Step 3: Cross multiply
    6,898.69x = 10,328.05 × 6,186.43
  4. Step 4: Simplify right side
    6,898.69x = 63,893,758.36
  5. Step 5: Solve for x
    x = 63,893,758.36/6,898.69
  6. Step 6: Final answer
    x = 9,261.72

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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.