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Finding the Fourth Proportional to 9,755.16, 13,462.16 and 5,278.94

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Solution

The fourth proportional to 9,755.16, 13,462.16 and 5,278.94 is: 7,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.16 : 13,462.16 = 5,278.94 : x
  2. Step 2: Convert to fraction form
    9,755.16/13,462.16 = 5,278.94/x
  3. Step 3: Cross multiply
    9,755.16x = 13,462.16 × 5,278.94
  4. Step 4: Simplify right side
    9,755.16x = 71,065,934.91
  5. Step 5: Solve for x
    x = 71,065,934.91/9,755.16
  6. Step 6: Final answer
    x = 7,284.96

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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.