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Finding the Fourth Proportional to 14,109.98, 19,471.99 and 7,737.16

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Solution

The fourth proportional to 14,109.98, 19,471.99 and 7,737.16 is: 10,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.98 : 19,471.99 = 7,737.16 : x
  2. Step 2: Convert to fraction form
    14,109.98/19,471.99 = 7,737.16/x
  3. Step 3: Cross multiply
    14,109.98x = 19,471.99 × 7,737.16
  4. Step 4: Simplify right side
    14,109.98x = 150,657,902.15
  5. Step 5: Solve for x
    x = 150,657,902.15/14,109.98
  6. Step 6: Final answer
    x = 10,677.40

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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.