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Finding the Fourth Proportional to 14,602.65, 20,148.93 and 8,228.76

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Solution

The fourth proportional to 14,602.65, 20,148.93 and 8,228.76 is: 11,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.65 : 20,148.93 = 8,228.76 : x
  2. Step 2: Convert to fraction form
    14,602.65/20,148.93 = 8,228.76/x
  3. Step 3: Cross multiply
    14,602.65x = 20,148.93 × 8,228.76
  4. Step 4: Simplify right side
    14,602.65x = 165,800,709.23
  5. Step 5: Solve for x
    x = 165,800,709.23/14,602.65
  6. Step 6: Final answer
    x = 11,354.15

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Half 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.