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Finding the Fourth Proportional to 9,630.71, 14,442.41 and 3,784.13

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Solution

The fourth proportional to 9,630.71, 14,442.41 and 3,784.13 is: 5,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.71 : 14,442.41 = 3,784.13 : x
  2. Step 2: Convert to fraction form
    9,630.71/14,442.41 = 3,784.13/x
  3. Step 3: Cross multiply
    9,630.71x = 14,442.41 × 3,784.13
  4. Step 4: Simplify right side
    9,630.71x = 54,651,894.20
  5. Step 5: Solve for x
    x = 54,651,894.20/9,630.71
  6. Step 6: Final answer
    x = 5,674.76

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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.