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Finding the Fourth Proportional to 13,883, 19,158.54 and 7,595.38

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Solution

The fourth proportional to 13,883, 19,158.54 and 7,595.38 is: 10,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883 : 19,158.54 = 7,595.38 : x
  2. Step 2: Convert to fraction form
    13,883/19,158.54 = 7,595.38/x
  3. Step 3: Cross multiply
    13,883x = 19,158.54 × 7,595.38
  4. Step 4: Simplify right side
    13,883x = 145,516,391.55
  5. Step 5: Solve for x
    x = 145,516,391.55/13,883
  6. Step 6: Final answer
    x = 10,481.62

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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.