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Finding the Fourth Proportional to 14,393.84, 21,572.61 and 7,713.77

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Solution

The fourth proportional to 14,393.84, 21,572.61 and 7,713.77 is: 11,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.84 : 21,572.61 = 7,713.77 : x
  2. Step 2: Convert to fraction form
    14,393.84/21,572.61 = 7,713.77/x
  3. Step 3: Cross multiply
    14,393.84x = 21,572.61 × 7,713.77
  4. Step 4: Simplify right side
    14,393.84x = 166,406,205.77
  5. Step 5: Solve for x
    x = 166,406,205.77/14,393.84
  6. Step 6: Final answer
    x = 11,560.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.