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Finding the Fourth Proportional to 10,644.42, 14,689.02 and 5,928.60

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Solution

The fourth proportional to 10,644.42, 14,689.02 and 5,928.60 is: 8,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.42 : 14,689.02 = 5,928.60 : x
  2. Step 2: Convert to fraction form
    10,644.42/14,689.02 = 5,928.60/x
  3. Step 3: Cross multiply
    10,644.42x = 14,689.02 × 5,928.60
  4. Step 4: Simplify right side
    10,644.42x = 87,085,323.97
  5. Step 5: Solve for x
    x = 87,085,323.97/10,644.42
  6. Step 6: Final answer
    x = 8,181.31

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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.