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Finding the Fourth Proportional to 9,957.16, 13,742.22 and 5,765.68

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Solution

The fourth proportional to 9,957.16, 13,742.22 and 5,765.68 is: 7,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.16 : 13,742.22 = 5,765.68 : x
  2. Step 2: Convert to fraction form
    9,957.16/13,742.22 = 5,765.68/x
  3. Step 3: Cross multiply
    9,957.16x = 13,742.22 × 5,765.68
  4. Step 4: Simplify right side
    9,957.16x = 79,233,243.01
  5. Step 5: Solve for x
    x = 79,233,243.01/9,957.16
  6. Step 6: Final answer
    x = 7,957.41

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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.