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Finding the Fourth Proportional to 8,291.76, 12,435.75 and 5,005.77

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Solution

The fourth proportional to 8,291.76, 12,435.75 and 5,005.77 is: 7,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.76 : 12,435.75 = 5,005.77 : x
  2. Step 2: Convert to fraction form
    8,291.76/12,435.75 = 5,005.77/x
  3. Step 3: Cross multiply
    8,291.76x = 12,435.75 × 5,005.77
  4. Step 4: Simplify right side
    8,291.76x = 62,250,504.28
  5. Step 5: Solve for x
    x = 62,250,504.28/8,291.76
  6. Step 6: Final answer
    x = 7,507.51

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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.