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Finding the Fourth Proportional to 9,897.52, 14,827.06 and 8,845.96

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Solution

The fourth proportional to 9,897.52, 14,827.06 and 8,845.96 is: 13,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.52 : 14,827.06 = 8,845.96 : x
  2. Step 2: Convert to fraction form
    9,897.52/14,827.06 = 8,845.96/x
  3. Step 3: Cross multiply
    9,897.52x = 14,827.06 × 8,845.96
  4. Step 4: Simplify right side
    9,897.52x = 131,159,579.68
  5. Step 5: Solve for x
    x = 131,159,579.68/9,897.52
  6. Step 6: Final answer
    x = 13,251.76

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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.