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Finding the Fourth Proportional to 9,897.36, 14,849.82 and 5,956.08

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Solution

The fourth proportional to 9,897.36, 14,849.82 and 5,956.08 is: 8,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.36 : 14,849.82 = 5,956.08 : x
  2. Step 2: Convert to fraction form
    9,897.36/14,849.82 = 5,956.08/x
  3. Step 3: Cross multiply
    9,897.36x = 14,849.82 × 5,956.08
  4. Step 4: Simplify right side
    9,897.36x = 88,446,715.91
  5. Step 5: Solve for x
    x = 88,446,715.91/9,897.36
  6. Step 6: Final answer
    x = 8,936.39

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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.