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Finding the Fourth Proportional to 8,724.52, 13,103.57 and 7,477.93

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Solution

The fourth proportional to 8,724.52, 13,103.57 and 7,477.93 is: 11,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.52 : 13,103.57 = 7,477.93 : x
  2. Step 2: Convert to fraction form
    8,724.52/13,103.57 = 7,477.93/x
  3. Step 3: Cross multiply
    8,724.52x = 13,103.57 × 7,477.93
  4. Step 4: Simplify right side
    8,724.52x = 97,987,579.21
  5. Step 5: Solve for x
    x = 97,987,579.21/8,724.52
  6. Step 6: Final answer
    x = 11,231.29

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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.