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Finding the Fourth Proportional to 9,367.64, 14,046.78 and 5,810.12

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Solution

The fourth proportional to 9,367.64, 14,046.78 and 5,810.12 is: 8,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.64 : 14,046.78 = 5,810.12 : x
  2. Step 2: Convert to fraction form
    9,367.64/14,046.78 = 5,810.12/x
  3. Step 3: Cross multiply
    9,367.64x = 14,046.78 × 5,810.12
  4. Step 4: Simplify right side
    9,367.64x = 81,613,477.41
  5. Step 5: Solve for x
    x = 81,613,477.41/9,367.64
  6. Step 6: Final answer
    x = 8,712.28

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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.