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Finding the Fourth Proportional to 13,002.92, 17,946.04 and 8,539.62

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Solution

The fourth proportional to 13,002.92, 17,946.04 and 8,539.62 is: 11,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.92 : 17,946.04 = 8,539.62 : x
  2. Step 2: Convert to fraction form
    13,002.92/17,946.04 = 8,539.62/x
  3. Step 3: Cross multiply
    13,002.92x = 17,946.04 × 8,539.62
  4. Step 4: Simplify right side
    13,002.92x = 153,252,362.10
  5. Step 5: Solve for x
    x = 153,252,362.10/13,002.92
  6. Step 6: Final answer
    x = 11,786.00

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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.