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Finding the Fourth Proportional to 13,897.48, 19,179 and 7,609.84

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Solution

The fourth proportional to 13,897.48, 19,179 and 7,609.84 is: 10,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.48 : 19,179 = 7,609.84 : x
  2. Step 2: Convert to fraction form
    13,897.48/19,179 = 7,609.84/x
  3. Step 3: Cross multiply
    13,897.48x = 19,179 × 7,609.84
  4. Step 4: Simplify right side
    13,897.48x = 145,949,121.36
  5. Step 5: Solve for x
    x = 145,949,121.36/13,897.48
  6. Step 6: Final answer
    x = 10,501.84

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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.