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Finding the Fourth Proportional to 9,706.93, 14,560.80 and 3,132.30

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Solution

The fourth proportional to 9,706.93, 14,560.80 and 3,132.30 is: 4,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.93 : 14,560.80 = 3,132.30 : x
  2. Step 2: Convert to fraction form
    9,706.93/14,560.80 = 3,132.30/x
  3. Step 3: Cross multiply
    9,706.93x = 14,560.80 × 3,132.30
  4. Step 4: Simplify right side
    9,706.93x = 45,608,793.84
  5. Step 5: Solve for x
    x = 45,608,793.84/9,706.93
  6. Step 6: Final answer
    x = 4,698.58

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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.