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Finding the Fourth Proportional to 6,523.08, 9,784.62 and 2,574.60

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Solution

The fourth proportional to 6,523.08, 9,784.62 and 2,574.60 is: 3,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.08 : 9,784.62 = 2,574.60 : x
  2. Step 2: Convert to fraction form
    6,523.08/9,784.62 = 2,574.60/x
  3. Step 3: Cross multiply
    6,523.08x = 9,784.62 × 2,574.60
  4. Step 4: Simplify right side
    6,523.08x = 25,191,482.65
  5. Step 5: Solve for x
    x = 25,191,482.65/6,523.08
  6. Step 6: Final answer
    x = 3,861.90

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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.