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Finding the Fourth Proportional to 9,405.66, 12,976.43 and 6,577.55

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Solution

The fourth proportional to 9,405.66, 12,976.43 and 6,577.55 is: 9,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.66 : 12,976.43 = 6,577.55 : x
  2. Step 2: Convert to fraction form
    9,405.66/12,976.43 = 6,577.55/x
  3. Step 3: Cross multiply
    9,405.66x = 12,976.43 × 6,577.55
  4. Step 4: Simplify right side
    9,405.66x = 85,353,019.38
  5. Step 5: Solve for x
    x = 85,353,019.38/9,405.66
  6. Step 6: Final answer
    x = 9,074.64

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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.