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Finding the Fourth Proportional to 13,767.95, 19,000.18 and 9,741.99

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Solution

The fourth proportional to 13,767.95, 19,000.18 and 9,741.99 is: 13,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.95 : 19,000.18 = 9,741.99 : x
  2. Step 2: Convert to fraction form
    13,767.95/19,000.18 = 9,741.99/x
  3. Step 3: Cross multiply
    13,767.95x = 19,000.18 × 9,741.99
  4. Step 4: Simplify right side
    13,767.95x = 185,099,539.20
  5. Step 5: Solve for x
    x = 185,099,539.20/13,767.95
  6. Step 6: Final answer
    x = 13,444.24

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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.