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Finding the Fourth Proportional to 12,294.66, 16,961.21 and 7,581.67

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Solution

The fourth proportional to 12,294.66, 16,961.21 and 7,581.67 is: 10,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.66 : 16,961.21 = 7,581.67 : x
  2. Step 2: Convert to fraction form
    12,294.66/16,961.21 = 7,581.67/x
  3. Step 3: Cross multiply
    12,294.66x = 16,961.21 × 7,581.67
  4. Step 4: Simplify right side
    12,294.66x = 128,594,259.11
  5. Step 5: Solve for x
    x = 128,594,259.11/12,294.66
  6. Step 6: Final answer
    x = 10,459.36

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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.