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Finding the Fourth Proportional to 14,609.13, 20,160.57 and 7,894.77

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Solution

The fourth proportional to 14,609.13, 20,160.57 and 7,894.77 is: 10,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.13 : 20,160.57 = 7,894.77 : x
  2. Step 2: Convert to fraction form
    14,609.13/20,160.57 = 7,894.77/x
  3. Step 3: Cross multiply
    14,609.13x = 20,160.57 × 7,894.77
  4. Step 4: Simplify right side
    14,609.13x = 159,163,063.22
  5. Step 5: Solve for x
    x = 159,163,063.22/14,609.13
  6. Step 6: Final answer
    x = 10,894.77

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Half scale
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Double scale
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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.