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Finding the Fourth Proportional to 7,561.22, 11,328.24 and 7,116.48

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Solution

The fourth proportional to 7,561.22, 11,328.24 and 7,116.48 is: 10,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.22 : 11,328.24 = 7,116.48 : x
  2. Step 2: Convert to fraction form
    7,561.22/11,328.24 = 7,116.48/x
  3. Step 3: Cross multiply
    7,561.22x = 11,328.24 × 7,116.48
  4. Step 4: Simplify right side
    7,561.22x = 80,617,193.40
  5. Step 5: Solve for x
    x = 80,617,193.40/7,561.22
  6. Step 6: Final answer
    x = 10,661.93

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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.