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Finding the Fourth Proportional to 7,000.96, 9,675.24 and 5,740.06

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Solution

The fourth proportional to 7,000.96, 9,675.24 and 5,740.06 is: 7,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.96 : 9,675.24 = 5,740.06 : x
  2. Step 2: Convert to fraction form
    7,000.96/9,675.24 = 5,740.06/x
  3. Step 3: Cross multiply
    7,000.96x = 9,675.24 × 5,740.06
  4. Step 4: Simplify right side
    7,000.96x = 55,536,458.11
  5. Step 5: Solve for x
    x = 55,536,458.11/7,000.96
  6. Step 6: Final answer
    x = 7,932.69

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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.