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Finding the Fourth Proportional to 11,706.10, 17,559.16 and 4,780.60

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Solution

The fourth proportional to 11,706.10, 17,559.16 and 4,780.60 is: 7,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.10 : 17,559.16 = 4,780.60 : x
  2. Step 2: Convert to fraction form
    11,706.10/17,559.16 = 4,780.60/x
  3. Step 3: Cross multiply
    11,706.10x = 17,559.16 × 4,780.60
  4. Step 4: Simplify right side
    11,706.10x = 83,943,232.50
  5. Step 5: Solve for x
    x = 83,943,232.50/11,706.10
  6. Step 6: Final answer
    x = 7,170.90

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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.