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Finding the Fourth Proportional to 7,153.42, 9,872.86 and 4,171

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Solution

The fourth proportional to 7,153.42, 9,872.86 and 4,171 is: 5,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.42 : 9,872.86 = 4,171 : x
  2. Step 2: Convert to fraction form
    7,153.42/9,872.86 = 4,171/x
  3. Step 3: Cross multiply
    7,153.42x = 9,872.86 × 4,171
  4. Step 4: Simplify right side
    7,153.42x = 41,179,699.06
  5. Step 5: Solve for x
    x = 41,179,699.06/7,153.42
  6. Step 6: Final answer
    x = 5,756.64

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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.