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Finding the Fourth Proportional to 9,817.22, 13,543.34 and 5,836.16

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Solution

The fourth proportional to 9,817.22, 13,543.34 and 5,836.16 is: 8,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.22 : 13,543.34 = 5,836.16 : x
  2. Step 2: Convert to fraction form
    9,817.22/13,543.34 = 5,836.16/x
  3. Step 3: Cross multiply
    9,817.22x = 13,543.34 × 5,836.16
  4. Step 4: Simplify right side
    9,817.22x = 79,041,099.17
  5. Step 5: Solve for x
    x = 79,041,099.17/9,817.22
  6. Step 6: Final answer
    x = 8,051.27

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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.