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Finding the Fourth Proportional to 10,801.60, 14,906.20 and 5,833.60

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Solution

The fourth proportional to 10,801.60, 14,906.20 and 5,833.60 is: 8,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.60 : 14,906.20 = 5,833.60 : x
  2. Step 2: Convert to fraction form
    10,801.60/14,906.20 = 5,833.60/x
  3. Step 3: Cross multiply
    10,801.60x = 14,906.20 × 5,833.60
  4. Step 4: Simplify right side
    10,801.60x = 86,956,756.47
  5. Step 5: Solve for x
    x = 86,956,756.47/10,801.60
  6. Step 6: Final answer
    x = 8,050.36

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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.