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Finding the Fourth Proportional to 9,894.63, 14,842.40 and 5,508.78

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Solution

The fourth proportional to 9,894.63, 14,842.40 and 5,508.78 is: 8,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.63 : 14,842.40 = 5,508.78 : x
  2. Step 2: Convert to fraction form
    9,894.63/14,842.40 = 5,508.78/x
  3. Step 3: Cross multiply
    9,894.63x = 14,842.40 × 5,508.78
  4. Step 4: Simplify right side
    9,894.63x = 81,763,488.73
  5. Step 5: Solve for x
    x = 81,763,488.73/9,894.63
  6. Step 6: Final answer
    x = 8,263.42

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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.