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Finding the Fourth Proportional to 11,506.74, 17,230.95 and 7,110.87

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Solution

The fourth proportional to 11,506.74, 17,230.95 and 7,110.87 is: 10,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.74 : 17,230.95 = 7,110.87 : x
  2. Step 2: Convert to fraction form
    11,506.74/17,230.95 = 7,110.87/x
  3. Step 3: Cross multiply
    11,506.74x = 17,230.95 × 7,110.87
  4. Step 4: Simplify right side
    11,506.74x = 122,527,045.43
  5. Step 5: Solve for x
    x = 122,527,045.43/11,506.74
  6. Step 6: Final answer
    x = 10,648.28

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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.