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Finding the Fourth Proportional to 9,843.40, 14,756.46 and 4,655.56

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Solution

The fourth proportional to 9,843.40, 14,756.46 and 4,655.56 is: 6,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.40 : 14,756.46 = 4,655.56 : x
  2. Step 2: Convert to fraction form
    9,843.40/14,756.46 = 4,655.56/x
  3. Step 3: Cross multiply
    9,843.40x = 14,756.46 × 4,655.56
  4. Step 4: Simplify right side
    9,843.40x = 68,699,584.92
  5. Step 5: Solve for x
    x = 68,699,584.92/9,843.40
  6. Step 6: Final answer
    x = 6,979.25

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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.