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Finding the Fourth Proportional to 8,462.24, 12,668.16 and 7,572.32

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Solution

The fourth proportional to 8,462.24, 12,668.16 and 7,572.32 is: 11,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.24 : 12,668.16 = 7,572.32 : x
  2. Step 2: Convert to fraction form
    8,462.24/12,668.16 = 7,572.32/x
  3. Step 3: Cross multiply
    8,462.24x = 12,668.16 × 7,572.32
  4. Step 4: Simplify right side
    8,462.24x = 95,927,361.33
  5. Step 5: Solve for x
    x = 95,927,361.33/8,462.24
  6. Step 6: Final answer
    x = 11,335.93

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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.