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Finding the Fourth Proportional to 7,631.59, 10,533.63 and 7,166.92

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Solution

The fourth proportional to 7,631.59, 10,533.63 and 7,166.92 is: 9,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.59 : 10,533.63 = 7,166.92 : x
  2. Step 2: Convert to fraction form
    7,631.59/10,533.63 = 7,166.92/x
  3. Step 3: Cross multiply
    7,631.59x = 10,533.63 × 7,166.92
  4. Step 4: Simplify right side
    7,631.59x = 75,493,683.52
  5. Step 5: Solve for x
    x = 75,493,683.52/7,631.59
  6. Step 6: Final answer
    x = 9,892.26

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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.