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Finding the Fourth Proportional to 9,400.69, 12,967.08 and 6,047.87

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Solution

The fourth proportional to 9,400.69, 12,967.08 and 6,047.87 is: 8,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.69 : 12,967.08 = 6,047.87 : x
  2. Step 2: Convert to fraction form
    9,400.69/12,967.08 = 6,047.87/x
  3. Step 3: Cross multiply
    9,400.69x = 12,967.08 × 6,047.87
  4. Step 4: Simplify right side
    9,400.69x = 78,423,214.12
  5. Step 5: Solve for x
    x = 78,423,214.12/9,400.69
  6. Step 6: Final answer
    x = 8,342.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.