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Finding the Fourth Proportional to 11,751.57, 16,218.63 and 7,035.75

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Solution

The fourth proportional to 11,751.57, 16,218.63 and 7,035.75 is: 9,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.57 : 16,218.63 = 7,035.75 : x
  2. Step 2: Convert to fraction form
    11,751.57/16,218.63 = 7,035.75/x
  3. Step 3: Cross multiply
    11,751.57x = 16,218.63 × 7,035.75
  4. Step 4: Simplify right side
    11,751.57x = 114,110,226.02
  5. Step 5: Solve for x
    x = 114,110,226.02/11,751.57
  6. Step 6: Final answer
    x = 9,710.21

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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.