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Finding the Fourth Proportional to 7,169.42, 10,735.62 and 4,955.12

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Solution

The fourth proportional to 7,169.42, 10,735.62 and 4,955.12 is: 7,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.42 : 10,735.62 = 4,955.12 : x
  2. Step 2: Convert to fraction form
    7,169.42/10,735.62 = 4,955.12/x
  3. Step 3: Cross multiply
    7,169.42x = 10,735.62 × 4,955.12
  4. Step 4: Simplify right side
    7,169.42x = 53,196,285.37
  5. Step 5: Solve for x
    x = 53,196,285.37/7,169.42
  6. Step 6: Final answer
    x = 7,419.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.