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Finding the Fourth Proportional to 10,821.60, 16,232.40 and 9,817.20

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Solution

The fourth proportional to 10,821.60, 16,232.40 and 9,817.20 is: 14,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.60 : 16,232.40 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    10,821.60/16,232.40 = 9,817.20/x
  3. Step 3: Cross multiply
    10,821.60x = 16,232.40 × 9,817.20
  4. Step 4: Simplify right side
    10,821.60x = 159,356,717.28
  5. Step 5: Solve for x
    x = 159,356,717.28/10,821.60
  6. Step 6: Final answer
    x = 14,725.80

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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.