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Finding the Fourth Proportional to 14,507.91, 20,019.49 and 8,538.76

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Solution

The fourth proportional to 14,507.91, 20,019.49 and 8,538.76 is: 11,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.91 : 20,019.49 = 8,538.76 : x
  2. Step 2: Convert to fraction form
    14,507.91/20,019.49 = 8,538.76/x
  3. Step 3: Cross multiply
    14,507.91x = 20,019.49 × 8,538.76
  4. Step 4: Simplify right side
    14,507.91x = 170,941,577.74
  5. Step 5: Solve for x
    x = 170,941,577.74/14,507.91
  6. Step 6: Final answer
    x = 11,782.65

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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.