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Finding the Fourth Proportional to 13,977.60, 20,966.40 and 7,416.60

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Solution

The fourth proportional to 13,977.60, 20,966.40 and 7,416.60 is: 11,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.60 : 20,966.40 = 7,416.60 : x
  2. Step 2: Convert to fraction form
    13,977.60/20,966.40 = 7,416.60/x
  3. Step 3: Cross multiply
    13,977.60x = 20,966.40 × 7,416.60
  4. Step 4: Simplify right side
    13,977.60x = 155,499,402.24
  5. Step 5: Solve for x
    x = 155,499,402.24/13,977.60
  6. Step 6: Final answer
    x = 11,124.90

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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.