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Finding the Fourth Proportional to 9,957.42, 13,742.73 and 5,980.32

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Solution

The fourth proportional to 9,957.42, 13,742.73 and 5,980.32 is: 8,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.42 : 13,742.73 = 5,980.32 : x
  2. Step 2: Convert to fraction form
    9,957.42/13,742.73 = 5,980.32/x
  3. Step 3: Cross multiply
    9,957.42x = 13,742.73 × 5,980.32
  4. Step 4: Simplify right side
    9,957.42x = 82,185,923.07
  5. Step 5: Solve for x
    x = 82,185,923.07/9,957.42
  6. Step 6: Final answer
    x = 8,253.74

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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.