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Finding the Fourth Proportional to 10,573.98, 14,592.03 and 6,097.68

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Solution

The fourth proportional to 10,573.98, 14,592.03 and 6,097.68 is: 8,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.98 : 14,592.03 = 6,097.68 : x
  2. Step 2: Convert to fraction form
    10,573.98/14,592.03 = 6,097.68/x
  3. Step 3: Cross multiply
    10,573.98x = 14,592.03 × 6,097.68
  4. Step 4: Simplify right side
    10,573.98x = 88,977,529.49
  5. Step 5: Solve for x
    x = 88,977,529.49/10,573.98
  6. Step 6: Final answer
    x = 8,414.76

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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.