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Finding the Fourth Proportional to 7,569, 11,362.61 and 5,462.19

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Solution

The fourth proportional to 7,569, 11,362.61 and 5,462.19 is: 8,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 11,362.61 = 5,462.19 : x
  2. Step 2: Convert to fraction form
    7,569/11,362.61 = 5,462.19/x
  3. Step 3: Cross multiply
    7,569x = 11,362.61 × 5,462.19
  4. Step 4: Simplify right side
    7,569x = 62,064,748.37
  5. Step 5: Solve for x
    x = 62,064,748.37/7,569
  6. Step 6: Final answer
    x = 8,199.86

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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.