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Finding the Fourth Proportional to 9,642.10, 14,453.28 and 5,473.30

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Solution

The fourth proportional to 9,642.10, 14,453.28 and 5,473.30 is: 8,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.10 : 14,453.28 = 5,473.30 : x
  2. Step 2: Convert to fraction form
    9,642.10/14,453.28 = 5,473.30/x
  3. Step 3: Cross multiply
    9,642.10x = 14,453.28 × 5,473.30
  4. Step 4: Simplify right side
    9,642.10x = 79,107,137.42
  5. Step 5: Solve for x
    x = 79,107,137.42/9,642.10
  6. Step 6: Final answer
    x = 8,204.35

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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.