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Finding the Fourth Proportional to 12,261, 16,920.32 and 6,956.20

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Solution

The fourth proportional to 12,261, 16,920.32 and 6,956.20 is: 9,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261 : 16,920.32 = 6,956.20 : x
  2. Step 2: Convert to fraction form
    12,261/16,920.32 = 6,956.20/x
  3. Step 3: Cross multiply
    12,261x = 16,920.32 × 6,956.20
  4. Step 4: Simplify right side
    12,261x = 117,701,129.98
  5. Step 5: Solve for x
    x = 117,701,129.98/12,261
  6. Step 6: Final answer
    x = 9,599.64

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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.