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Finding the Fourth Proportional to 6,296.64, 9,443.68 and 5,984.40

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Solution

The fourth proportional to 6,296.64, 9,443.68 and 5,984.40 is: 8,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.64 : 9,443.68 = 5,984.40 : x
  2. Step 2: Convert to fraction form
    6,296.64/9,443.68 = 5,984.40/x
  3. Step 3: Cross multiply
    6,296.64x = 9,443.68 × 5,984.40
  4. Step 4: Simplify right side
    6,296.64x = 56,514,758.59
  5. Step 5: Solve for x
    x = 56,514,758.59/6,296.64
  6. Step 6: Final answer
    x = 8,975.38

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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.