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Finding the Fourth Proportional to 13,774.00, 19,008.52 and 7,805.47

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Solution

The fourth proportional to 13,774.00, 19,008.52 and 7,805.47 is: 10,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.00 : 19,008.52 = 7,805.47 : x
  2. Step 2: Convert to fraction form
    13,774.00/19,008.52 = 7,805.47/x
  3. Step 3: Cross multiply
    13,774.00x = 19,008.52 × 7,805.47
  4. Step 4: Simplify right side
    13,774.00x = 148,370,365.57
  5. Step 5: Solve for x
    x = 148,370,365.57/13,774.00
  6. Step 6: Final answer
    x = 10,771.77

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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.