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Finding the Fourth Proportional to 10,672.54, 14,722.88 and 6,898.94

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Solution

The fourth proportional to 10,672.54, 14,722.88 and 6,898.94 is: 9,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.54 : 14,722.88 = 6,898.94 : x
  2. Step 2: Convert to fraction form
    10,672.54/14,722.88 = 6,898.94/x
  3. Step 3: Cross multiply
    10,672.54x = 14,722.88 × 6,898.94
  4. Step 4: Simplify right side
    10,672.54x = 101,572,265.75
  5. Step 5: Solve for x
    x = 101,572,265.75/10,672.54
  6. Step 6: Final answer
    x = 9,517.16

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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.