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Finding the Fourth Proportional to 10,644.62, 14,686.62 and 6,867.94

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Solution

The fourth proportional to 10,644.62, 14,686.62 and 6,867.94 is: 9,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.62 : 14,686.62 = 6,867.94 : x
  2. Step 2: Convert to fraction form
    10,644.62/14,686.62 = 6,867.94/x
  3. Step 3: Cross multiply
    10,644.62x = 14,686.62 × 6,867.94
  4. Step 4: Simplify right side
    10,644.62x = 100,866,790.03
  5. Step 5: Solve for x
    x = 100,866,790.03/10,644.62
  6. Step 6: Final answer
    x = 9,475.85

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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.