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Finding the Fourth Proportional to 6,482.76, 9,724.68 and 2,785.08

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Solution

The fourth proportional to 6,482.76, 9,724.68 and 2,785.08 is: 4,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.76 : 9,724.68 = 2,785.08 : x
  2. Step 2: Convert to fraction form
    6,482.76/9,724.68 = 2,785.08/x
  3. Step 3: Cross multiply
    6,482.76x = 9,724.68 × 2,785.08
  4. Step 4: Simplify right side
    6,482.76x = 27,084,011.77
  5. Step 5: Solve for x
    x = 27,084,011.77/6,482.76
  6. Step 6: Final answer
    x = 4,177.85

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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.