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Finding the Fourth Proportional to 9,814.59, 13,544.28 and 5,836.14

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Solution

The fourth proportional to 9,814.59, 13,544.28 and 5,836.14 is: 8,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.59 : 13,544.28 = 5,836.14 : x
  2. Step 2: Convert to fraction form
    9,814.59/13,544.28 = 5,836.14/x
  3. Step 3: Cross multiply
    9,814.59x = 13,544.28 × 5,836.14
  4. Step 4: Simplify right side
    9,814.59x = 79,046,314.28
  5. Step 5: Solve for x
    x = 79,046,314.28/9,814.59
  6. Step 6: Final answer
    x = 8,053.96

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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.