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Finding the Fourth Proportional to 9,502.57, 14,263.88 and 7,767.55

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Solution

The fourth proportional to 9,502.57, 14,263.88 and 7,767.55 is: 11,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.57 : 14,263.88 = 7,767.55 : x
  2. Step 2: Convert to fraction form
    9,502.57/14,263.88 = 7,767.55/x
  3. Step 3: Cross multiply
    9,502.57x = 14,263.88 × 7,767.55
  4. Step 4: Simplify right side
    9,502.57x = 110,795,401.09
  5. Step 5: Solve for x
    x = 110,795,401.09/9,502.57
  6. Step 6: Final answer
    x = 11,659.52

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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.