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Finding the Fourth Proportional to 9,533.62, 14,294.64 and 4,267.63

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Solution

The fourth proportional to 9,533.62, 14,294.64 and 4,267.63 is: 6,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.62 : 14,294.64 = 4,267.63 : x
  2. Step 2: Convert to fraction form
    9,533.62/14,294.64 = 4,267.63/x
  3. Step 3: Cross multiply
    9,533.62x = 14,294.64 × 4,267.63
  4. Step 4: Simplify right side
    9,533.62x = 61,004,234.50
  5. Step 5: Solve for x
    x = 61,004,234.50/9,533.62
  6. Step 6: Final answer
    x = 6,398.85

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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.