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Finding the Fourth Proportional to 14,119.94, 19,487.85 and 7,834.34

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Solution

The fourth proportional to 14,119.94, 19,487.85 and 7,834.34 is: 10,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.94 : 19,487.85 = 7,834.34 : x
  2. Step 2: Convert to fraction form
    14,119.94/19,487.85 = 7,834.34/x
  3. Step 3: Cross multiply
    14,119.94x = 19,487.85 × 7,834.34
  4. Step 4: Simplify right side
    14,119.94x = 152,674,442.77
  5. Step 5: Solve for x
    x = 152,674,442.77/14,119.94
  6. Step 6: Final answer
    x = 10,812.68

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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.