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Finding the Fourth Proportional to 9,970.99, 14,956.49 and 6,841.51

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Solution

The fourth proportional to 9,970.99, 14,956.49 and 6,841.51 is: 10,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.99 : 14,956.49 = 6,841.51 : x
  2. Step 2: Convert to fraction form
    9,970.99/14,956.49 = 6,841.51/x
  3. Step 3: Cross multiply
    9,970.99x = 14,956.49 × 6,841.51
  4. Step 4: Simplify right side
    9,970.99x = 102,325,049.36
  5. Step 5: Solve for x
    x = 102,325,049.36/9,970.99
  6. Step 6: Final answer
    x = 10,262.27

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Similar ratio
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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.