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Finding the Fourth Proportional to 10,873.70, 16,285.79 and 6,482.08

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Solution

The fourth proportional to 10,873.70, 16,285.79 and 6,482.08 is: 9,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.70 : 16,285.79 = 6,482.08 : x
  2. Step 2: Convert to fraction form
    10,873.70/16,285.79 = 6,482.08/x
  3. Step 3: Cross multiply
    10,873.70x = 16,285.79 × 6,482.08
  4. Step 4: Simplify right side
    10,873.70x = 105,565,720.52
  5. Step 5: Solve for x
    x = 105,565,720.52/10,873.70
  6. Step 6: Final answer
    x = 9,708.36

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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.