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Finding the Fourth Proportional to 8,646.48, 12,976.20 and 6,935.76

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Solution

The fourth proportional to 8,646.48, 12,976.20 and 6,935.76 is: 10,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.48 : 12,976.20 = 6,935.76 : x
  2. Step 2: Convert to fraction form
    8,646.48/12,976.20 = 6,935.76/x
  3. Step 3: Cross multiply
    8,646.48x = 12,976.20 × 6,935.76
  4. Step 4: Simplify right side
    8,646.48x = 89,999,808.91
  5. Step 5: Solve for x
    x = 89,999,808.91/8,646.48
  6. Step 6: Final answer
    x = 10,408.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.