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Finding the Fourth Proportional to 9,809.10, 14,713.65 and 7,029.90

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Solution

The fourth proportional to 9,809.10, 14,713.65 and 7,029.90 is: 10,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.10 : 14,713.65 = 7,029.90 : x
  2. Step 2: Convert to fraction form
    9,809.10/14,713.65 = 7,029.90/x
  3. Step 3: Cross multiply
    9,809.10x = 14,713.65 × 7,029.90
  4. Step 4: Simplify right side
    9,809.10x = 103,435,488.14
  5. Step 5: Solve for x
    x = 103,435,488.14/9,809.10
  6. Step 6: Final answer
    x = 10,544.85

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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.