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Finding the Fourth Proportional to 14,663.16, 20,235.15 and 7,949.00

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Solution

The fourth proportional to 14,663.16, 20,235.15 and 7,949.00 is: 10,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.16 : 20,235.15 = 7,949.00 : x
  2. Step 2: Convert to fraction form
    14,663.16/20,235.15 = 7,949.00/x
  3. Step 3: Cross multiply
    14,663.16x = 20,235.15 × 7,949.00
  4. Step 4: Simplify right side
    14,663.16x = 160,849,257.94
  5. Step 5: Solve for x
    x = 160,849,257.94/14,663.16
  6. Step 6: Final answer
    x = 10,969.62

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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.