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Finding the Fourth Proportional to 12,573.72, 17,352.03 and 6,908.83

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Solution

The fourth proportional to 12,573.72, 17,352.03 and 6,908.83 is: 9,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.72 : 17,352.03 = 6,908.83 : x
  2. Step 2: Convert to fraction form
    12,573.72/17,352.03 = 6,908.83/x
  3. Step 3: Cross multiply
    12,573.72x = 17,352.03 × 6,908.83
  4. Step 4: Simplify right side
    12,573.72x = 119,882,225.42
  5. Step 5: Solve for x
    x = 119,882,225.42/12,573.72
  6. Step 6: Final answer
    x = 9,534.35

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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.