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Finding the Fourth Proportional to 9,674.70, 13,351.95 and 5,693.82

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Solution

The fourth proportional to 9,674.70, 13,351.95 and 5,693.82 is: 7,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.70 : 13,351.95 = 5,693.82 : x
  2. Step 2: Convert to fraction form
    9,674.70/13,351.95 = 5,693.82/x
  3. Step 3: Cross multiply
    9,674.70x = 13,351.95 × 5,693.82
  4. Step 4: Simplify right side
    9,674.70x = 76,023,599.95
  5. Step 5: Solve for x
    x = 76,023,599.95/9,674.70
  6. Step 6: Final answer
    x = 7,857.98

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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.