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Finding the Fourth Proportional to 12,455.24, 17,188.24 and 6,866.24

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Solution

The fourth proportional to 12,455.24, 17,188.24 and 6,866.24 is: 9,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.24 : 17,188.24 = 6,866.24 : x
  2. Step 2: Convert to fraction form
    12,455.24/17,188.24 = 6,866.24/x
  3. Step 3: Cross multiply
    12,455.24x = 17,188.24 × 6,866.24
  4. Step 4: Simplify right side
    12,455.24x = 118,018,581.02
  5. Step 5: Solve for x
    x = 118,018,581.02/12,455.24
  6. Step 6: Final answer
    x = 9,475.42

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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.