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Finding the Fourth Proportional to 14,185.70, 19,575.92 and 7,897.94

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Solution

The fourth proportional to 14,185.70, 19,575.92 and 7,897.94 is: 10,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.70 : 19,575.92 = 7,897.94 : x
  2. Step 2: Convert to fraction form
    14,185.70/19,575.92 = 7,897.94/x
  3. Step 3: Cross multiply
    14,185.70x = 19,575.92 × 7,897.94
  4. Step 4: Simplify right side
    14,185.70x = 154,609,402.12
  5. Step 5: Solve for x
    x = 154,609,402.12/14,185.70
  6. Step 6: Final answer
    x = 10,898.96

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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.