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Finding the Fourth Proportional to 7,925.30, 10,942.26 and 7,083.30

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Solution

The fourth proportional to 7,925.30, 10,942.26 and 7,083.30 is: 9,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.30 : 10,942.26 = 7,083.30 : x
  2. Step 2: Convert to fraction form
    7,925.30/10,942.26 = 7,083.30/x
  3. Step 3: Cross multiply
    7,925.30x = 10,942.26 × 7,083.30
  4. Step 4: Simplify right side
    7,925.30x = 77,507,310.26
  5. Step 5: Solve for x
    x = 77,507,310.26/7,925.30
  6. Step 6: Final answer
    x = 9,779.73

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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.