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Finding the Fourth Proportional to 13,773.43, 19,007.17 and 7,485.67

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Solution

The fourth proportional to 13,773.43, 19,007.17 and 7,485.67 is: 10,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.43 : 19,007.17 = 7,485.67 : x
  2. Step 2: Convert to fraction form
    13,773.43/19,007.17 = 7,485.67/x
  3. Step 3: Cross multiply
    13,773.43x = 19,007.17 × 7,485.67
  4. Step 4: Simplify right side
    13,773.43x = 142,281,402.25
  5. Step 5: Solve for x
    x = 142,281,402.25/13,773.43
  6. Step 6: Final answer
    x = 10,330.14

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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.