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Finding the Fourth Proportional to 7,230.71, 9,975.62 and 5,346.83

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Solution

The fourth proportional to 7,230.71, 9,975.62 and 5,346.83 is: 7,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.71 : 9,975.62 = 5,346.83 : x
  2. Step 2: Convert to fraction form
    7,230.71/9,975.62 = 5,346.83/x
  3. Step 3: Cross multiply
    7,230.71x = 9,975.62 × 5,346.83
  4. Step 4: Simplify right side
    7,230.71x = 53,337,917.55
  5. Step 5: Solve for x
    x = 53,337,917.55/7,230.71
  6. Step 6: Final answer
    x = 7,376.58

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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.