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Finding the Fourth Proportional to 9,813.94, 13,543.50 and 5,837.20

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Solution

The fourth proportional to 9,813.94, 13,543.50 and 5,837.20 is: 8,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.94 : 13,543.50 = 5,837.20 : x
  2. Step 2: Convert to fraction form
    9,813.94/13,543.50 = 5,837.20/x
  3. Step 3: Cross multiply
    9,813.94x = 13,543.50 × 5,837.20
  4. Step 4: Simplify right side
    9,813.94x = 79,056,118.20
  5. Step 5: Solve for x
    x = 79,056,118.20/9,813.94
  6. Step 6: Final answer
    x = 8,055.49

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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.