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Finding the Fourth Proportional to 13,773.70, 19,007.61 and 7,486.07

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Solution

The fourth proportional to 13,773.70, 19,007.61 and 7,486.07 is: 10,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.70 : 19,007.61 = 7,486.07 : x
  2. Step 2: Convert to fraction form
    13,773.70/19,007.61 = 7,486.07/x
  3. Step 3: Cross multiply
    13,773.70x = 19,007.61 × 7,486.07
  4. Step 4: Simplify right side
    13,773.70x = 142,292,298.99
  5. Step 5: Solve for x
    x = 142,292,298.99/13,773.70
  6. Step 6: Final answer
    x = 10,330.73

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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.