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Finding the Fourth Proportional to 6,520.81, 9,733.49 and 5,602.27

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Solution

The fourth proportional to 6,520.81, 9,733.49 and 5,602.27 is: 8,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.81 : 9,733.49 = 5,602.27 : x
  2. Step 2: Convert to fraction form
    6,520.81/9,733.49 = 5,602.27/x
  3. Step 3: Cross multiply
    6,520.81x = 9,733.49 × 5,602.27
  4. Step 4: Simplify right side
    6,520.81x = 54,529,639.02
  5. Step 5: Solve for x
    x = 54,529,639.02/6,520.81
  6. Step 6: Final answer
    x = 8,362.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.