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Finding the Fourth Proportional to 6,590.30, 9,884.64 and 1,659.53

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Solution

The fourth proportional to 6,590.30, 9,884.64 and 1,659.53 is: 2,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.30 : 9,884.64 = 1,659.53 : x
  2. Step 2: Convert to fraction form
    6,590.30/9,884.64 = 1,659.53/x
  3. Step 3: Cross multiply
    6,590.30x = 9,884.64 × 1,659.53
  4. Step 4: Simplify right side
    6,590.30x = 16,403,807.20
  5. Step 5: Solve for x
    x = 16,403,807.20/6,590.30
  6. Step 6: Final answer
    x = 2,489.09

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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.