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Finding the Fourth Proportional to 9,857.64, 14,786.46 and 4,012.68

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Solution

The fourth proportional to 9,857.64, 14,786.46 and 4,012.68 is: 6,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.64 : 14,786.46 = 4,012.68 : x
  2. Step 2: Convert to fraction form
    9,857.64/14,786.46 = 4,012.68/x
  3. Step 3: Cross multiply
    9,857.64x = 14,786.46 × 4,012.68
  4. Step 4: Simplify right side
    9,857.64x = 59,333,332.31
  5. Step 5: Solve for x
    x = 59,333,332.31/9,857.64
  6. Step 6: Final answer
    x = 6,019.02

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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.