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Finding the Fourth Proportional to 14,199, 19,594.68 and 7,911.84

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Solution

The fourth proportional to 14,199, 19,594.68 and 7,911.84 is: 10,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199 : 19,594.68 = 7,911.84 : x
  2. Step 2: Convert to fraction form
    14,199/19,594.68 = 7,911.84/x
  3. Step 3: Cross multiply
    14,199x = 19,594.68 × 7,911.84
  4. Step 4: Simplify right side
    14,199x = 155,029,973.01
  5. Step 5: Solve for x
    x = 155,029,973.01/14,199
  6. Step 6: Final answer
    x = 10,918.37

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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.