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Finding the Fourth Proportional to 6,566.49, 9,852.66 and 3,445.77

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Solution

The fourth proportional to 6,566.49, 9,852.66 and 3,445.77 is: 5,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.49 : 9,852.66 = 3,445.77 : x
  2. Step 2: Convert to fraction form
    6,566.49/9,852.66 = 3,445.77/x
  3. Step 3: Cross multiply
    6,566.49x = 9,852.66 × 3,445.77
  4. Step 4: Simplify right side
    6,566.49x = 33,950,000.25
  5. Step 5: Solve for x
    x = 33,950,000.25/6,566.49
  6. Step 6: Final answer
    x = 5,170.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.