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Finding the Fourth Proportional to 14,608.52, 20,159.74 and 7,894.14

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Solution

The fourth proportional to 14,608.52, 20,159.74 and 7,894.14 is: 10,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.52 : 20,159.74 = 7,894.14 : x
  2. Step 2: Convert to fraction form
    14,608.52/20,159.74 = 7,894.14/x
  3. Step 3: Cross multiply
    14,608.52x = 20,159.74 × 7,894.14
  4. Step 4: Simplify right side
    14,608.52x = 159,143,809.92
  5. Step 5: Solve for x
    x = 159,143,809.92/14,608.52
  6. Step 6: Final answer
    x = 10,893.90

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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.