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Finding the Fourth Proportional to 9,208.22, 13,812.33 and 7,029.32

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Solution

The fourth proportional to 9,208.22, 13,812.33 and 7,029.32 is: 10,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.22 : 13,812.33 = 7,029.32 : x
  2. Step 2: Convert to fraction form
    9,208.22/13,812.33 = 7,029.32/x
  3. Step 3: Cross multiply
    9,208.22x = 13,812.33 × 7,029.32
  4. Step 4: Simplify right side
    9,208.22x = 97,091,218.45
  5. Step 5: Solve for x
    x = 97,091,218.45/9,208.22
  6. Step 6: Final answer
    x = 10,543.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.