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Finding the Fourth Proportional to 9,830.05, 14,734.68 and 7,055.21

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Solution

The fourth proportional to 9,830.05, 14,734.68 and 7,055.21 is: 10,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.05 : 14,734.68 = 7,055.21 : x
  2. Step 2: Convert to fraction form
    9,830.05/14,734.68 = 7,055.21/x
  3. Step 3: Cross multiply
    9,830.05x = 14,734.68 × 7,055.21
  4. Step 4: Simplify right side
    9,830.05x = 103,956,316.16
  5. Step 5: Solve for x
    x = 103,956,316.16/9,830.05
  6. Step 6: Final answer
    x = 10,575.37

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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.