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Finding the Fourth Proportional to 9,671.94, 14,510.07 and 3,828.60

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Solution

The fourth proportional to 9,671.94, 14,510.07 and 3,828.60 is: 5,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.94 : 14,510.07 = 3,828.60 : x
  2. Step 2: Convert to fraction form
    9,671.94/14,510.07 = 3,828.60/x
  3. Step 3: Cross multiply
    9,671.94x = 14,510.07 × 3,828.60
  4. Step 4: Simplify right side
    9,671.94x = 55,553,254.00
  5. Step 5: Solve for x
    x = 55,553,254.00/9,671.94
  6. Step 6: Final answer
    x = 5,743.76

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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.