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Finding the Fourth Proportional to 5,569.88, 7,665.98 and 4,775

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Solution

The fourth proportional to 5,569.88, 7,665.98 and 4,775 is: 6,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.88 : 7,665.98 = 4,775 : x
  2. Step 2: Convert to fraction form
    5,569.88/7,665.98 = 4,775/x
  3. Step 3: Cross multiply
    5,569.88x = 7,665.98 × 4,775
  4. Step 4: Simplify right side
    5,569.88x = 36,605,054.50
  5. Step 5: Solve for x
    x = 36,605,054.50/5,569.88
  6. Step 6: Final answer
    x = 6,571.96

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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.