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Finding the Fourth Proportional to 13,038.21, 19,508.54 and 7,753.95

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Solution

The fourth proportional to 13,038.21, 19,508.54 and 7,753.95 is: 11,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.21 : 19,508.54 = 7,753.95 : x
  2. Step 2: Convert to fraction form
    13,038.21/19,508.54 = 7,753.95/x
  3. Step 3: Cross multiply
    13,038.21x = 19,508.54 × 7,753.95
  4. Step 4: Simplify right side
    13,038.21x = 151,268,204.96
  5. Step 5: Solve for x
    x = 151,268,204.96/13,038.21
  6. Step 6: Final answer
    x = 11,601.92

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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.