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Finding the Fourth Proportional to 6,523.20, 9,706.34 and 6,501.34

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Solution

The fourth proportional to 6,523.20, 9,706.34 and 6,501.34 is: 9,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.20 : 9,706.34 = 6,501.34 : x
  2. Step 2: Convert to fraction form
    6,523.20/9,706.34 = 6,501.34/x
  3. Step 3: Cross multiply
    6,523.20x = 9,706.34 × 6,501.34
  4. Step 4: Simplify right side
    6,523.20x = 63,104,216.50
  5. Step 5: Solve for x
    x = 63,104,216.50/6,523.20
  6. Step 6: Final answer
    x = 9,673.81

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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.