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Finding the Fourth Proportional to 6,549.86, 9,769.52 and 5,564.90

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Solution

The fourth proportional to 6,549.86, 9,769.52 and 5,564.90 is: 8,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.86 : 9,769.52 = 5,564.90 : x
  2. Step 2: Convert to fraction form
    6,549.86/9,769.52 = 5,564.90/x
  3. Step 3: Cross multiply
    6,549.86x = 9,769.52 × 5,564.90
  4. Step 4: Simplify right side
    6,549.86x = 54,366,401.85
  5. Step 5: Solve for x
    x = 54,366,401.85/6,549.86
  6. Step 6: Final answer
    x = 8,300.39

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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.