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Finding the Fourth Proportional to 9,957.36, 13,740.12 and 5,764.80

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Solution

The fourth proportional to 9,957.36, 13,740.12 and 5,764.80 is: 7,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.36 : 13,740.12 = 5,764.80 : x
  2. Step 2: Convert to fraction form
    9,957.36/13,740.12 = 5,764.80/x
  3. Step 3: Cross multiply
    9,957.36x = 13,740.12 × 5,764.80
  4. Step 4: Simplify right side
    9,957.36x = 79,209,043.78
  5. Step 5: Solve for x
    x = 79,209,043.78/9,957.36
  6. Step 6: Final answer
    x = 7,954.82

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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.