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Finding the Fourth Proportional to 10,493.95, 14,476.97 and 7,089.87

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Solution

The fourth proportional to 10,493.95, 14,476.97 and 7,089.87 is: 9,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.95 : 14,476.97 = 7,089.87 : x
  2. Step 2: Convert to fraction form
    10,493.95/14,476.97 = 7,089.87/x
  3. Step 3: Cross multiply
    10,493.95x = 14,476.97 × 7,089.87
  4. Step 4: Simplify right side
    10,493.95x = 102,639,853.02
  5. Step 5: Solve for x
    x = 102,639,853.02/10,493.95
  6. Step 6: Final answer
    x = 9,780.86

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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.