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Finding the Fourth Proportional to 13,757.85, 18,985.47 and 7,790.10

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Solution

The fourth proportional to 13,757.85, 18,985.47 and 7,790.10 is: 10,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.85 : 18,985.47 = 7,790.10 : x
  2. Step 2: Convert to fraction form
    13,757.85/18,985.47 = 7,790.10/x
  3. Step 3: Cross multiply
    13,757.85x = 18,985.47 × 7,790.10
  4. Step 4: Simplify right side
    13,757.85x = 147,898,709.85
  5. Step 5: Solve for x
    x = 147,898,709.85/13,757.85
  6. Step 6: Final answer
    x = 10,750.13

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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.