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Finding the Fourth Proportional to 9,874.00, 14,811.46 and 5,488.16

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Solution

The fourth proportional to 9,874.00, 14,811.46 and 5,488.16 is: 8,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.00 : 14,811.46 = 5,488.16 : x
  2. Step 2: Convert to fraction form
    9,874.00/14,811.46 = 5,488.16/x
  3. Step 3: Cross multiply
    9,874.00x = 14,811.46 × 5,488.16
  4. Step 4: Simplify right side
    9,874.00x = 81,287,574.54
  5. Step 5: Solve for x
    x = 81,287,574.54/9,874.00
  6. Step 6: Final answer
    x = 8,232.49

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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.