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Finding the Fourth Proportional to 9,957.78, 13,740.98 and 5,708.80

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Solution

The fourth proportional to 9,957.78, 13,740.98 and 5,708.80 is: 7,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.78 : 13,740.98 = 5,708.80 : x
  2. Step 2: Convert to fraction form
    9,957.78/13,740.98 = 5,708.80/x
  3. Step 3: Cross multiply
    9,957.78x = 13,740.98 × 5,708.80
  4. Step 4: Simplify right side
    9,957.78x = 78,444,506.62
  5. Step 5: Solve for x
    x = 78,444,506.62/9,957.78
  6. Step 6: Final answer
    x = 7,877.71

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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.