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Finding the Fourth Proportional to 6,299.64, 9,448.20 and 5,987.40

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Solution

The fourth proportional to 6,299.64, 9,448.20 and 5,987.40 is: 8,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.64 : 9,448.20 = 5,987.40 : x
  2. Step 2: Convert to fraction form
    6,299.64/9,448.20 = 5,987.40/x
  3. Step 3: Cross multiply
    6,299.64x = 9,448.20 × 5,987.40
  4. Step 4: Simplify right side
    6,299.64x = 56,570,152.68
  5. Step 5: Solve for x
    x = 56,570,152.68/6,299.64
  6. Step 6: Final answer
    x = 8,979.90

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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.