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Finding the Fourth Proportional to 11,114.01, 16,652.52 and 7,821.23

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Solution

The fourth proportional to 11,114.01, 16,652.52 and 7,821.23 is: 11,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.01 : 16,652.52 = 7,821.23 : x
  2. Step 2: Convert to fraction form
    11,114.01/16,652.52 = 7,821.23/x
  3. Step 3: Cross multiply
    11,114.01x = 16,652.52 × 7,821.23
  4. Step 4: Simplify right side
    11,114.01x = 130,243,105.74
  5. Step 5: Solve for x
    x = 130,243,105.74/11,114.01
  6. Step 6: Final answer
    x = 11,718.82

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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.