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Finding the Fourth Proportional to 9,651.65, 13,318.20 and 5,402.93

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Solution

The fourth proportional to 9,651.65, 13,318.20 and 5,402.93 is: 7,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.65 : 13,318.20 = 5,402.93 : x
  2. Step 2: Convert to fraction form
    9,651.65/13,318.20 = 5,402.93/x
  3. Step 3: Cross multiply
    9,651.65x = 13,318.20 × 5,402.93
  4. Step 4: Simplify right side
    9,651.65x = 71,957,235.74
  5. Step 5: Solve for x
    x = 71,957,235.74/9,651.65
  6. Step 6: Final answer
    x = 7,455.44

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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.