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Finding the Fourth Proportional to 13,753.13, 18,977.93 and 7,783.76

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Solution

The fourth proportional to 13,753.13, 18,977.93 and 7,783.76 is: 10,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.13 : 18,977.93 = 7,783.76 : x
  2. Step 2: Convert to fraction form
    13,753.13/18,977.93 = 7,783.76/x
  3. Step 3: Cross multiply
    13,753.13x = 18,977.93 × 7,783.76
  4. Step 4: Simplify right side
    13,753.13x = 147,719,652.42
  5. Step 5: Solve for x
    x = 147,719,652.42/13,753.13
  6. Step 6: Final answer
    x = 10,740.80

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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.