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Finding the Fourth Proportional to 12,102.76, 16,701.76 and 6,726.08

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Solution

The fourth proportional to 12,102.76, 16,701.76 and 6,726.08 is: 9,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.76 : 16,701.76 = 6,726.08 : x
  2. Step 2: Convert to fraction form
    12,102.76/16,701.76 = 6,726.08/x
  3. Step 3: Cross multiply
    12,102.76x = 16,701.76 × 6,726.08
  4. Step 4: Simplify right side
    12,102.76x = 112,337,424.06
  5. Step 5: Solve for x
    x = 112,337,424.06/12,102.76
  6. Step 6: Final answer
    x = 9,281.97

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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.