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Finding the Fourth Proportional to 9,809.69, 14,714.54 and 6,901.01

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Solution

The fourth proportional to 9,809.69, 14,714.54 and 6,901.01 is: 10,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.69 : 14,714.54 = 6,901.01 : x
  2. Step 2: Convert to fraction form
    9,809.69/14,714.54 = 6,901.01/x
  3. Step 3: Cross multiply
    9,809.69x = 14,714.54 × 6,901.01
  4. Step 4: Simplify right side
    9,809.69x = 101,545,153.18
  5. Step 5: Solve for x
    x = 101,545,153.18/9,809.69
  6. Step 6: Final answer
    x = 10,351.52

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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.