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Finding the Fourth Proportional to 9,846.56, 13,589.70 and 5,870

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Solution

The fourth proportional to 9,846.56, 13,589.70 and 5,870 is: 8,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.56 : 13,589.70 = 5,870 : x
  2. Step 2: Convert to fraction form
    9,846.56/13,589.70 = 5,870/x
  3. Step 3: Cross multiply
    9,846.56x = 13,589.70 × 5,870
  4. Step 4: Simplify right side
    9,846.56x = 79,771,539
  5. Step 5: Solve for x
    x = 79,771,539/9,846.56
  6. Step 6: Final answer
    x = 8,101.46

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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.