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Finding the Fourth Proportional to 9,897.66, 14,825.83 and 5,936.35

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Solution

The fourth proportional to 9,897.66, 14,825.83 and 5,936.35 is: 8,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.66 : 14,825.83 = 5,936.35 : x
  2. Step 2: Convert to fraction form
    9,897.66/14,825.83 = 5,936.35/x
  3. Step 3: Cross multiply
    9,897.66x = 14,825.83 × 5,936.35
  4. Step 4: Simplify right side
    9,897.66x = 88,011,315.92
  5. Step 5: Solve for x
    x = 88,011,315.92/9,897.66
  6. Step 6: Final answer
    x = 8,892.13

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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.