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Finding the Fourth Proportional to 14,645.77, 20,211.05 and 7,931.30

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Solution

The fourth proportional to 14,645.77, 20,211.05 and 7,931.30 is: 10,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.77 : 20,211.05 = 7,931.30 : x
  2. Step 2: Convert to fraction form
    14,645.77/20,211.05 = 7,931.30/x
  3. Step 3: Cross multiply
    14,645.77x = 20,211.05 × 7,931.30
  4. Step 4: Simplify right side
    14,645.77x = 160,299,900.87
  5. Step 5: Solve for x
    x = 160,299,900.87/14,645.77
  6. Step 6: Final answer
    x = 10,945.14

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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.